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Least Common Multiple (LCM) of 180 and 177

The least common multiple (LCM) of 180 and 177 is 10620.

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 180 and 177?

First, calculate the GCD of 180 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 180 ÷ 177 = 1 remainder 3
2 177 ÷ 3 = 59 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 122004
119 and 85595
56 and 1945432
89 and 766764
134 and 906030

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