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Least Common Multiple (LCM) of 101 and 53

The least common multiple (LCM) of 101 and 53 is 5353.

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 53?

First, calculate the GCD of 101 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 53 = 1 remainder 48
2 53 ÷ 48 = 1 remainder 5
3 48 ÷ 5 = 9 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
198 and 963168
194 and 18335502
63 and 72504
85 and 1502550
175 and 396825

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