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Least Common Multiple (LCM) of 147 and 124

The least common multiple (LCM) of 147 and 124 is 18228.

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 124?

First, calculate the GCD of 147 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 124 = 1 remainder 23
2 124 ÷ 23 = 5 remainder 9
3 23 ÷ 9 = 2 remainder 5
4 9 ÷ 5 = 1 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 1176435
141 and 1446768
14 and 13182
195 and 7614820
26 and 65130

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