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Least Common Multiple (LCM) of 200 and 152

The least common multiple (LCM) of 200 and 152 is 3800.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 200 and 152?

First, calculate the GCD of 200 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 200 ÷ 152 = 1 remainder 48
2 152 ÷ 48 = 3 remainder 8
3 48 ÷ 8 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 19152
50 and 1383450
99 and 12812672
74 and 381406
19 and 1919

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