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Least Common Multiple (LCM) of 132 and 26

The least common multiple (LCM) of 132 and 26 is 1716.

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 132 and 26?

First, calculate the GCD of 132 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 26 = 5 remainder 2
2 26 ÷ 2 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 291566
96 and 12111616
50 and 180900
153 and 253825
34 and 1474998

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