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Least Common Multiple (LCM) of 170 and 135

The least common multiple (LCM) of 170 and 135 is 4590.

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 135?

First, calculate the GCD of 170 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 135 = 1 remainder 35
2 135 ÷ 35 = 3 remainder 30
3 35 ÷ 30 = 1 remainder 5
4 30 ÷ 5 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 201420
32 and 1855920
43 and 1124816
72 and 1259000
34 and 1943298

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