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Least Common Multiple (LCM) of 27 and 160

The least common multiple (LCM) of 27 and 160 is 4320.

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 27 and 160?

First, calculate the GCD of 27 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 160 = 0 remainder 27
2 160 ÷ 27 = 5 remainder 25
3 27 ÷ 25 = 1 remainder 2
4 25 ÷ 2 = 12 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 984998
158 and 1169164
31 and 29899
58 and 1659570
18 and 1481332

Try Calculating LCM of Other Numbers







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