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Least Common Multiple (LCM) of 100 and 54

The least common multiple (LCM) of 100 and 54 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 100 and 54?

First, calculate the GCD of 100 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 54 = 1 remainder 46
2 54 ÷ 46 = 1 remainder 8
3 46 ÷ 8 = 5 remainder 6
4 8 ÷ 6 = 1 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 22902
173 and 284844
130 and 422730
199 and 15631044
198 and 88792

Try Calculating LCM of Other Numbers







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