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Least Common Multiple (LCM) of 165 and 65

The least common multiple (LCM) of 165 and 65 is 2145.

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 65?

First, calculate the GCD of 165 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 65 = 2 remainder 35
2 65 ÷ 35 = 1 remainder 30
3 35 ÷ 30 = 1 remainder 5
4 30 ÷ 5 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 1385106
127 and 10713589
191 and 17833998
147 and 17625872
69 and 1834209

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