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Least Common Multiple (LCM) of 178 and 107

The least common multiple (LCM) of 178 and 107 is 19046.

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 107?

First, calculate the GCD of 178 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 107 = 1 remainder 71
2 107 ÷ 71 = 1 remainder 36
3 71 ÷ 36 = 1 remainder 35
4 36 ÷ 35 = 1 remainder 1
5 35 ÷ 1 = 35 remainder 0

Examples of LCM Calculations

NumbersLCM
77 and 372849
135 and 12116335
32 and 531696
181 and 17431494
67 and 1218107

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