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Least Common Multiple (LCM) of 128 and 52

The least common multiple (LCM) of 128 and 52 is 1664.

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 128 and 52?

First, calculate the GCD of 128 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 52 = 2 remainder 24
2 52 ÷ 24 = 2 remainder 4
3 24 ÷ 4 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 17314186
121 and 19323353
167 and 19031730
154 and 578778
86 and 783354

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