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Least Common Multiple (LCM) of 170 and 26

The least common multiple (LCM) of 170 and 26 is 2210.

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 26?

First, calculate the GCD of 170 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 26 = 6 remainder 14
2 26 ÷ 14 = 1 remainder 12
3 14 ÷ 12 = 1 remainder 2
4 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 465842
60 and 1962940
23 and 471081
121 and 698349
168 and 19510920

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