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Least Common Multiple (LCM) of 52 and 101

The least common multiple (LCM) of 52 and 101 is 5252.

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 52 and 101?

First, calculate the GCD of 52 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 101 = 0 remainder 52
2 101 ÷ 52 = 1 remainder 49
3 52 ÷ 49 = 1 remainder 3
4 49 ÷ 3 = 16 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
65 and 795135
76 and 823116
163 and 14223146
44 and 853740
140 and 517140

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