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Least Common Multiple (LCM) of 170 and 174

The least common multiple (LCM) of 170 and 174 is 14790.

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 170 and 174?

First, calculate the GCD of 170 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 174 = 0 remainder 170
2 174 ÷ 170 = 1 remainder 4
3 170 ÷ 4 = 42 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 589222
44 and 30660
180 and 1044680
105 and 18419320
129 and 19725413

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