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Least Common Multiple (LCM) of 114 and 100

The least common multiple (LCM) of 114 and 100 is 5700.

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 114 and 100?

First, calculate the GCD of 114 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 114 ÷ 100 = 1 remainder 14
2 100 ÷ 14 = 7 remainder 2
3 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 1401540
69 and 92276
155 and 11918445
79 and 17413746
129 and 557095

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