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Least Common Multiple (LCM) of 100 and 10

The least common multiple (LCM) of 100 and 10 is 100.

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 10?

First, calculate the GCD of 100 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 10 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 17912172
15 and 81405
14 and 1761232
102 and 1487548
146 and 16123506

Try Calculating LCM of Other Numbers







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