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Least Common Multiple (LCM) of 67 and 53

The least common multiple (LCM) of 67 and 53 is 3551.

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 67 and 53?

First, calculate the GCD of 67 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 53 = 1 remainder 14
2 53 ÷ 14 = 3 remainder 11
3 14 ÷ 11 = 1 remainder 3
4 11 ÷ 3 = 3 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
143 and 202860
182 and 16214742
200 and 14128200
24 and 952280
47 and 1768272

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