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Least Common Multiple (LCM) of 84 and 100

The least common multiple (LCM) of 84 and 100 is 2100.

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 84 and 100?

First, calculate the GCD of 84 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 100 = 0 remainder 84
2 100 ÷ 84 = 1 remainder 16
3 84 ÷ 16 = 5 remainder 4
4 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 1242480
197 and 14728959
99 and 1761584
18 and 198198
152 and 335016

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