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Least Common Multiple (LCM) of 161 and 65

The least common multiple (LCM) of 161 and 65 is 10465.

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 161 and 65?

First, calculate the GCD of 161 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 161 ÷ 65 = 2 remainder 31
2 65 ÷ 31 = 2 remainder 3
3 31 ÷ 3 = 10 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 494410
28 and 88616
103 and 10410712
13 and 1832379
61 and 1167076

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