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Least Common Multiple (LCM) of 177 and 156

The least common multiple (LCM) of 177 and 156 is 9204.

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 177 and 156?

First, calculate the GCD of 177 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 156 = 1 remainder 21
2 156 ÷ 21 = 7 remainder 9
3 21 ÷ 9 = 2 remainder 3
4 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 19213632
134 and 161072
60 and 621860
106 and 818586
19 and 1552945

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