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Least Common Multiple (LCM) of 74 and 159

The least common multiple (LCM) of 74 and 159 is 11766.

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 74 and 159?

First, calculate the GCD of 74 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 74 ÷ 159 = 0 remainder 74
2 159 ÷ 74 = 2 remainder 11
3 74 ÷ 11 = 6 remainder 8
4 11 ÷ 8 = 1 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 536519
107 and 303210
26 and 1001300
155 and 16225110
176 and 17330448

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