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Least Common Multiple (LCM) of 174 and 11

The least common multiple (LCM) of 174 and 11 is 1914.

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 11?

First, calculate the GCD of 174 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 11 = 15 remainder 9
2 11 ÷ 9 = 1 remainder 2
3 9 ÷ 2 = 4 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 879309
183 and 1237503
146 and 946862
155 and 6810540
200 and 828200

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