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Least Common Multiple (LCM) of 172 and 59

The least common multiple (LCM) of 172 and 59 is 10148.

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 59?

First, calculate the GCD of 172 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
167 and 11819706
151 and 19629596
29 and 651885
100 and 11911900
151 and 20030200

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