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Least Common Multiple (LCM) of 169 and 65

The least common multiple (LCM) of 169 and 65 is 845.

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 169 and 65?

First, calculate the GCD of 169 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 65 = 2 remainder 39
2 65 ÷ 39 = 1 remainder 26
3 39 ÷ 26 = 1 remainder 13
4 26 ÷ 13 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 9410810
180 and 1069540
152 and 15411704
10 and 185370
122 and 825002

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