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Least Common Multiple (LCM) of 147 and 184

The least common multiple (LCM) of 147 and 184 is 27048.

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 184?

First, calculate the GCD of 147 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 184 = 0 remainder 147
2 184 ÷ 147 = 1 remainder 37
3 147 ÷ 37 = 3 remainder 36
4 37 ÷ 36 = 1 remainder 1
5 36 ÷ 1 = 36 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 661782
48 and 1381104
105 and 84420
61 and 1639943
29 and 862494

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