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Least Common Multiple (LCM) of 185 and 191

The least common multiple (LCM) of 185 and 191 is 35335.

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 191?

First, calculate the GCD of 185 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 191 = 0 remainder 185
2 191 ÷ 185 = 1 remainder 6
3 185 ÷ 6 = 30 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 3672
52 and 1321716
70 and 1419870
101 and 333333
101 and 101101

Try Calculating LCM of Other Numbers







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