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Least Common Multiple (LCM) of 113 and 200

The least common multiple (LCM) of 113 and 200 is 22600.

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 200?

First, calculate the GCD of 113 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 200 = 0 remainder 113
2 200 ÷ 113 = 1 remainder 87
3 113 ÷ 87 = 1 remainder 26
4 87 ÷ 26 = 3 remainder 9
5 26 ÷ 9 = 2 remainder 8
6 9 ÷ 8 = 1 remainder 1
7 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 1476027
154 and 967392
170 and 5910030
199 and 13025870
83 and 604980

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