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Least Common Multiple (LCM) of 101 and 200

The least common multiple (LCM) of 101 and 200 is 20200.

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 101 and 200?

First, calculate the GCD of 101 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 200 = 0 remainder 101
2 200 ÷ 101 = 1 remainder 99
3 101 ÷ 99 = 1 remainder 2
4 99 ÷ 2 = 49 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 18723749
53 and 10530
200 and 12324600
121 and 101210
115 and 12814720

Try Calculating LCM of Other Numbers







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