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Least Common Multiple (LCM) of 147 and 78

The least common multiple (LCM) of 147 and 78 is 3822.

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 78?

First, calculate the GCD of 147 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 78 = 1 remainder 69
2 78 ÷ 69 = 1 remainder 9
3 69 ÷ 9 = 7 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 10100
78 and 1081404
169 and 19132279
177 and 203540
194 and 726984

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