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Least Common Multiple (LCM) of 97 and 177

The least common multiple (LCM) of 97 and 177 is 17169.

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 97 and 177?

First, calculate the GCD of 97 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 177 = 0 remainder 97
2 177 ÷ 97 = 1 remainder 80
3 97 ÷ 80 = 1 remainder 17
4 80 ÷ 17 = 4 remainder 12
5 17 ÷ 12 = 1 remainder 5
6 12 ÷ 5 = 2 remainder 2
7 5 ÷ 2 = 2 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 1035253
69 and 17011730
35 and 682380
152 and 423192
178 and 504450

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