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Least Common Multiple (LCM) of 174 and 142

The least common multiple (LCM) of 174 and 142 is 12354.

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 174 and 142?

First, calculate the GCD of 174 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 142 = 1 remainder 32
2 142 ÷ 32 = 4 remainder 14
3 32 ÷ 14 = 2 remainder 4
4 14 ÷ 4 = 3 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
36 and 1856660
55 and 99495
68 and 16711356
87 and 403480
45 and 781170

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