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Least Common Multiple (LCM) of 188 and 113

The least common multiple (LCM) of 188 and 113 is 21244.

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 188 and 113?

First, calculate the GCD of 188 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 113 = 1 remainder 75
2 113 ÷ 75 = 1 remainder 38
3 75 ÷ 38 = 1 remainder 37
4 38 ÷ 37 = 1 remainder 1
5 37 ÷ 1 = 37 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 1191071
121 and 425082
200 and 438600
100 and 1829100
23 and 184184

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