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Least Common Multiple (LCM) of 108 and 100

The least common multiple (LCM) of 108 and 100 is 2700.

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 108 and 100?

First, calculate the GCD of 108 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 108 ÷ 100 = 1 remainder 8
2 100 ÷ 8 = 12 remainder 4
3 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1382070
14 and 22154
87 and 13711919
194 and 1029894
33 and 612013

Try Calculating LCM of Other Numbers







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