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Least Common Multiple (LCM) of 67 and 147

The least common multiple (LCM) of 67 and 147 is 9849.

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 67 and 147?

First, calculate the GCD of 67 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 147 = 0 remainder 67
2 147 ÷ 67 = 2 remainder 13
3 67 ÷ 13 = 5 remainder 2
4 13 ÷ 2 = 6 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 1201320
85 and 1179945
94 and 393666
185 and 17832930
141 and 344794

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