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Least Common Multiple (LCM) of 160 and 74

The least common multiple (LCM) of 160 and 74 is 5920.

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 74?

First, calculate the GCD of 160 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 74 = 2 remainder 12
2 74 ÷ 12 = 6 remainder 2
3 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
98 and 643136
44 and 1315764
107 and 555885
64 and 1963136
136 and 16322168

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