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Least Common Multiple (LCM) of 165 and 155

The least common multiple (LCM) of 165 and 155 is 5115.

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 165 and 155?

First, calculate the GCD of 165 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 155 = 1 remainder 10
2 155 ÷ 10 = 15 remainder 5
3 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 101630
102 and 1829282
15 and 189945
167 and 223674
70 and 19113370

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