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Least Common Multiple (LCM) of 132 and 70

The least common multiple (LCM) of 132 and 70 is 4620.

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 70?

First, calculate the GCD of 132 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 70 = 1 remainder 62
2 70 ÷ 62 = 1 remainder 8
3 62 ÷ 8 = 7 remainder 6
4 8 ÷ 6 = 1 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 13922101
48 and 1095232
122 and 18411224
115 and 475405
146 and 15122046

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