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Least Common Multiple (LCM) of 134 and 172

The least common multiple (LCM) of 134 and 172 is 11524.

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 134 and 172?

First, calculate the GCD of 134 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 172 = 0 remainder 134
2 172 ÷ 134 = 1 remainder 38
3 134 ÷ 38 = 3 remainder 20
4 38 ÷ 20 = 1 remainder 18
5 20 ÷ 18 = 1 remainder 2
6 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 160160
129 and 19625284
54 and 834482
57 and 1257125
176 and 721584

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