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Least Common Multiple (LCM) of 62 and 160

The least common multiple (LCM) of 62 and 160 is 4960.

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 160?

First, calculate the GCD of 62 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 62 ÷ 160 = 0 remainder 62
2 160 ÷ 62 = 2 remainder 36
3 62 ÷ 36 = 1 remainder 26
4 36 ÷ 26 = 1 remainder 10
5 26 ÷ 10 = 2 remainder 6
6 10 ÷ 6 = 1 remainder 4
7 6 ÷ 4 = 1 remainder 2
8 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
178 and 16414596
23 and 32736
74 and 1218954
105 and 15716485
75 and 523900

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