Answer :
The smallest multiple that both numbers share is known as the lowest common multiple (LCM) of two numbers. The steps listed below can be used to determine the LCM of 124 and 200:
To find the lowest common multiple
To obtain: prime-factor both values
124 = 2^2 * 31
200 = 2^3 * 5^2
Find the prime factorizations' greatest powers for each prime factor:
The highest power for 2 is 23.
The highest power for 31 is 311.
The highest power for 5 is 52.
To determine the LCM, multiply these highest powers collectively.
LCM = 2^3 * 31^1 * 5^2 = 8 * 31 * 25 = 6200
Consequently, 6200 is the lowest common multiple of 124 and 200.
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6200 because you use prime factorisation
Prime factorization of 124 = 2 x 2 x 31 = 22 x 31
Prime factorization of 200 = 2 x 2 x 2 x 5 x 5 = 23 x 52
Prime factors to the highest power = 23 x 31 x 52 = 6200
Prime factorization of 124 = 2 x 2 x 31 = 22 x 31
Prime factorization of 200 = 2 x 2 x 2 x 5 x 5 = 23 x 52
Prime factors to the highest power = 23 x 31 x 52 = 6200
