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Least Common Multiple (LCM) of 185 and 69

The least common multiple (LCM) of 185 and 69 is 12765.

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 185 and 69?

First, calculate the GCD of 185 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 69 = 2 remainder 47
2 69 ÷ 47 = 1 remainder 22
3 47 ÷ 22 = 2 remainder 3
4 22 ÷ 3 = 7 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
143 and 324576
18 and 48144
89 and 16915041
100 and 441100
108 and 17318684

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