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Least Common Multiple (LCM) of 178 and 77

The least common multiple (LCM) of 178 and 77 is 13706.

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 178 and 77?

First, calculate the GCD of 178 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 77 = 2 remainder 24
2 77 ÷ 24 = 3 remainder 5
3 24 ÷ 5 = 4 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 799085
122 and 221342
11 and 50550
10 and 27270
71 and 19513845

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