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Least Common Multiple (LCM) of 175 and 132

The least common multiple (LCM) of 175 and 132 is 23100.

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 175 and 132?

First, calculate the GCD of 175 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 132 = 1 remainder 43
2 132 ÷ 43 = 3 remainder 3
3 43 ÷ 3 = 14 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 1263654
122 and 1408540
130 and 543510
77 and 927084
11 and 73803

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