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Least Common Multiple (LCM) of 153 and 26

The least common multiple (LCM) of 153 and 26 is 3978.

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 153 and 26?

First, calculate the GCD of 153 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 26 = 5 remainder 23
2 26 ÷ 23 = 1 remainder 3
3 23 ÷ 3 = 7 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
58 and 1384002
65 and 1227930
150 and 294350
58 and 18310614
162 and 141134

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