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Least Common Multiple (LCM) of 26 and 53

The least common multiple (LCM) of 26 and 53 is 1378.

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 26 and 53?

First, calculate the GCD of 26 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 53 = 0 remainder 26
2 53 ÷ 26 = 2 remainder 1
3 26 ÷ 1 = 26 remainder 0

Examples of LCM Calculations

NumbersLCM
119 and 263094
72 and 1642952
90 and 48720
103 and 12012360
142 and 16923998

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