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Least Common Multiple (LCM) of 177 and 78

The least common multiple (LCM) of 177 and 78 is 4602.

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 78?

First, calculate the GCD of 177 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 78 = 2 remainder 21
2 78 ÷ 21 = 3 remainder 15
3 21 ÷ 15 = 1 remainder 6
4 15 ÷ 6 = 2 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 538957
119 and 18822372
39 and 1847176
100 and 16716700
10 and 3030

Try Calculating LCM of Other Numbers







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