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Least Common Multiple (LCM) of 100 and 84

The least common multiple (LCM) of 100 and 84 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 100 and 84?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
131 and 18824628
57 and 114114
38 and 1776726
99 and 706930
193 and 18335319

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