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Least Common Multiple (LCM) of 160 and 101

The least common multiple (LCM) of 160 and 101 is 16160.

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 101?

First, calculate the GCD of 160 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 101 = 1 remainder 59
2 101 ÷ 59 = 1 remainder 42
3 59 ÷ 42 = 1 remainder 17
4 42 ÷ 17 = 2 remainder 8
5 17 ÷ 8 = 2 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 90180
107 and 15616692
16 and 180720
113 and 18921357
190 and 12812160

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