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Least Common Multiple (LCM) of 179 and 61

The least common multiple (LCM) of 179 and 61 is 10919.

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 179 and 61?

First, calculate the GCD of 179 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 179 ÷ 61 = 2 remainder 57
2 61 ÷ 57 = 1 remainder 4
3 57 ÷ 4 = 14 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
56 and 1397784
139 and 8712093
98 and 17717346
15 and 120120
189 and 18434776

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