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Least Common Multiple (LCM) of 154 and 168

The least common multiple (LCM) of 154 and 168 is 1848.

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 154 and 168?

First, calculate the GCD of 154 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 154 ÷ 168 = 0 remainder 154
2 168 ÷ 154 = 1 remainder 14
3 154 ÷ 14 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
198 and 16933462
147 and 723528
167 and 315177
72 and 622232
51 and 1322244

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