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Least Common Multiple (LCM) of 62 and 164

The least common multiple (LCM) of 62 and 164 is 5084.

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 62 and 164?

First, calculate the GCD of 62 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 62 ÷ 164 = 0 remainder 62
2 164 ÷ 62 = 2 remainder 40
3 62 ÷ 40 = 1 remainder 22
4 40 ÷ 22 = 1 remainder 18
5 22 ÷ 18 = 1 remainder 4
6 18 ÷ 4 = 4 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 69552
55 and 633465
119 and 556545
109 and 252725
82 and 433526

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