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Least Common Multiple (LCM) of 113 and 87

The least common multiple (LCM) of 113 and 87 is 9831.

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 87?

First, calculate the GCD of 113 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 87 = 1 remainder 26
2 87 ÷ 26 = 3 remainder 9
3 26 ÷ 9 = 2 remainder 8
4 9 ÷ 8 = 1 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 1547700
25 and 571425
132 and 1846072
82 and 1305330
138 and 865934

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