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Least Common Multiple (LCM) of 174 and 170

The least common multiple (LCM) of 174 and 170 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 174 and 170?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
148 and 521924
55 and 951045
183 and 17832574
108 and 798532
131 and 13818078

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