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Least Common Multiple (LCM) of 172 and 186

The least common multiple (LCM) of 172 and 186 is 15996.

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 186?

First, calculate the GCD of 172 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 186 = 0 remainder 172
2 186 ÷ 172 = 1 remainder 14
3 172 ÷ 14 = 12 remainder 4
4 14 ÷ 4 = 3 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 44924
143 and 9313299
159 and 18954
34 and 531802
124 and 799796

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