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Least Common Multiple (LCM) of 165 and 47

The least common multiple (LCM) of 165 and 47 is 7755.

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 165 and 47?

First, calculate the GCD of 165 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 47 = 3 remainder 24
2 47 ÷ 24 = 1 remainder 23
3 24 ÷ 23 = 1 remainder 1
4 23 ÷ 1 = 23 remainder 0

Examples of LCM Calculations

NumbersLCM
139 and 9312927
172 and 17329756
50 and 1477350
178 and 12010680
149 and 233427

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