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Least Common Multiple (LCM) of 142 and 174

The least common multiple (LCM) of 142 and 174 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 142 and 174?

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

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 174 = 0 remainder 142
2 174 ÷ 142 = 1 remainder 32
3 142 ÷ 32 = 4 remainder 14
4 32 ÷ 14 = 2 remainder 4
5 14 ÷ 4 = 3 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
180 and 935580
79 and 14511455
173 and 122076
178 and 302670
80 and 1024080

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