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Least Common Multiple (LCM) of 20 and 113

The least common multiple (LCM) of 20 and 113 is 2260.

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 20 and 113?

First, calculate the GCD of 20 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 113 = 0 remainder 20
2 113 ÷ 20 = 5 remainder 13
3 20 ÷ 13 = 1 remainder 7
4 13 ÷ 7 = 1 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 9012330
98 and 401960
178 and 16214418
194 and 8316102
123 and 10112423

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