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Least Common Multiple (LCM) of 147 and 122

The least common multiple (LCM) of 147 and 122 is 17934.

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 147 and 122?

First, calculate the GCD of 147 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 122 = 1 remainder 25
2 122 ÷ 25 = 4 remainder 22
3 25 ÷ 22 = 1 remainder 3
4 22 ÷ 3 = 7 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
11 and 971067
163 and 7512225
158 and 7712166
130 and 9312090
36 and 712556

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