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Least Common Multiple (LCM) of 68 and 160

The least common multiple (LCM) of 68 and 160 is 2720.

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 68 and 160?

First, calculate the GCD of 68 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 160 = 0 remainder 68
2 160 ÷ 68 = 2 remainder 24
3 68 ÷ 24 = 2 remainder 20
4 24 ÷ 20 = 1 remainder 4
5 20 ÷ 4 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 1475733
29 and 1795191
168 and 19933432
16 and 1872992
114 and 10912426

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