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Least Common Multiple (LCM) of 177 and 120

The least common multiple (LCM) of 177 and 120 is 7080.

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 120?

First, calculate the GCD of 177 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 120 = 1 remainder 57
2 120 ÷ 57 = 2 remainder 6
3 57 ÷ 6 = 9 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 694485
164 and 8113284
123 and 678241
90 and 522340
82 and 1119102

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