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Least Common Multiple (LCM) of 164 and 116

The least common multiple (LCM) of 164 and 116 is 4756.

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 164 and 116?

First, calculate the GCD of 164 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 116 = 1 remainder 48
2 116 ÷ 48 = 2 remainder 20
3 48 ÷ 20 = 2 remainder 8
4 20 ÷ 8 = 2 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 43516
117 and 10712519
69 and 614209
198 and 16131878
19 and 831577

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