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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
162 and 619882
80 and 35560
96 and 13312768
184 and 16615272
143 and 1321716

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