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Least Common Multiple (LCM) of 61 and 178

The least common multiple (LCM) of 61 and 178 is 10858.

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 61 and 178?

First, calculate the GCD of 61 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 178 = 0 remainder 61
2 178 ÷ 61 = 2 remainder 56
3 61 ÷ 56 = 1 remainder 5
4 56 ÷ 5 = 11 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 576270
58 and 633654
169 and 16527885
114 and 993762
32 and 11352

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