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Least Common Multiple (LCM) of 132 and 67

The least common multiple (LCM) of 132 and 67 is 8844.

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 67?

First, calculate the GCD of 132 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 67 = 1 remainder 65
2 67 ÷ 65 = 1 remainder 2
3 65 ÷ 2 = 32 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 13610744
159 and 477473
155 and 19630380
163 and 203260
99 and 14514355

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