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Least Common Multiple (LCM) of 172 and 113

The least common multiple (LCM) of 172 and 113 is 19436.

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 172 and 113?

First, calculate the GCD of 172 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 113 = 1 remainder 59
2 113 ÷ 59 = 1 remainder 54
3 59 ÷ 54 = 1 remainder 5
4 54 ÷ 5 = 10 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 18523310
89 and 12110769
27 and 401080
60 and 1261260
14 and 136952

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