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Least Common Multiple (LCM) of 124 and 113

The least common multiple (LCM) of 124 and 113 is 14012.

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 124 and 113?

First, calculate the GCD of 124 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 113 = 1 remainder 11
2 113 ÷ 11 = 10 remainder 3
3 11 ÷ 3 = 3 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 132119
23 and 25575
158 and 987742
194 and 121164
175 and 10418200

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