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Least Common Multiple (LCM) of 37 and 177

The least common multiple (LCM) of 37 and 177 is 6549.

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 37 and 177?

First, calculate the GCD of 37 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 37 ÷ 177 = 0 remainder 37
2 177 ÷ 37 = 4 remainder 29
3 37 ÷ 29 = 1 remainder 8
4 29 ÷ 8 = 3 remainder 5
5 8 ÷ 5 = 1 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 1821092
113 and 9010170
94 and 15714758
65 and 851105
108 and 180540

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