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Least Common Multiple (LCM) of 34 and 177

The least common multiple (LCM) of 34 and 177 is 6018.

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 34 and 177?

First, calculate the GCD of 34 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 177 = 0 remainder 34
2 177 ÷ 34 = 5 remainder 7
3 34 ÷ 7 = 4 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 1386762
173 and 10918857
79 and 1007900
34 and 1856290
185 and 12322755

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