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Least Common Multiple (LCM) of 100 and 88

The least common multiple (LCM) of 100 and 88 is 2200.

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 100 and 88?

First, calculate the GCD of 100 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 88 = 1 remainder 12
2 88 ÷ 12 = 7 remainder 4
3 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 15318666
97 and 424074
62 and 815022
97 and 313007
26 and 1152990

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