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Least Common Multiple (LCM) of 170 and 58

The least common multiple (LCM) of 170 and 58 is 4930.

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 58?

First, calculate the GCD of 170 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 58 = 2 remainder 54
2 58 ÷ 54 = 1 remainder 4
3 54 ÷ 4 = 13 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 623162
110 and 542970
146 and 16123506
195 and 78390
34 and 23782

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