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Least Common Multiple (LCM) of 93 and 191

The least common multiple (LCM) of 93 and 191 is 17763.

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 93 and 191?

First, calculate the GCD of 93 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 93 ÷ 191 = 0 remainder 93
2 191 ÷ 93 = 2 remainder 5
3 93 ÷ 5 = 18 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
37 and 541998
166 and 10717762
70 and 963360
172 and 6911868
148 and 578436

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