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Least Common Multiple (LCM) of 160 and 55

The least common multiple (LCM) of 160 and 55 is 1760.

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 160 and 55?

First, calculate the GCD of 160 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 55 = 2 remainder 50
2 55 ÷ 50 = 1 remainder 5
3 50 ÷ 5 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
78 and 17913962
166 and 294814
116 and 722088
107 and 939951
75 and 781950

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