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Least Common Multiple (LCM) of 147 and 154

The least common multiple (LCM) of 147 and 154 is 3234.

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 154?

First, calculate the GCD of 147 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 154 = 0 remainder 147
2 154 ÷ 147 = 1 remainder 7
3 147 ÷ 7 = 21 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 192280
142 and 17324566
137 and 11015070
78 and 33858
116 and 11713572

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