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Least Common Multiple (LCM) of 113 and 59

The least common multiple (LCM) of 113 and 59 is 6667.

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 113 and 59?

First, calculate the GCD of 113 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 59 = 1 remainder 54
2 59 ÷ 54 = 1 remainder 5
3 54 ÷ 5 = 10 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 19027930
65 and 1519815
154 and 10716478
10 and 1911910
121 and 991089

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