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Least Common Multiple (LCM) of 174 and 80

The least common multiple (LCM) of 174 and 80 is 6960.

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 80?

First, calculate the GCD of 174 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 80 = 2 remainder 14
2 80 ÷ 14 = 5 remainder 10
3 14 ÷ 10 = 1 remainder 4
4 10 ÷ 4 = 2 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 13925993
188 and 315828
163 and 538639
115 and 9410810
196 and 964704

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