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Least Common Multiple (LCM) of 40 and 84

The least common multiple (LCM) of 40 and 84 is 840.

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 40 and 84?

First, calculate the GCD of 40 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 40 ÷ 84 = 0 remainder 40
2 84 ÷ 40 = 2 remainder 4
3 40 ÷ 4 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 478883
59 and 352065
17 and 751275
33 and 6666
190 and 181710

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