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Least Common Multiple (LCM) of 172 and 77

The least common multiple (LCM) of 172 and 77 is 13244.

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 77?

First, calculate the GCD of 172 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 77 = 2 remainder 18
2 77 ÷ 18 = 4 remainder 5
3 18 ÷ 5 = 3 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 11410374
132 and 15810428
37 and 291073
15 and 1762640
44 and 1842024

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