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Least Common Multiple (LCM) of 147 and 69

The least common multiple (LCM) of 147 and 69 is 3381.

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 147 and 69?

First, calculate the GCD of 147 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 69 = 2 remainder 9
2 69 ÷ 9 = 7 remainder 6
3 9 ÷ 6 = 1 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
141 and 13418894
126 and 865418
81 and 16913689
56 and 1802520
126 and 1529576

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