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Least Common Multiple (LCM) of 170 and 132

The least common multiple (LCM) of 170 and 132 is 11220.

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 170 and 132?

First, calculate the GCD of 170 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 132 = 1 remainder 38
2 132 ÷ 38 = 3 remainder 18
3 38 ÷ 18 = 2 remainder 2
4 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 132288
61 and 694209
185 and 14927565
89 and 706230
48 and 581392

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