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Least Common Multiple (LCM) of 83 and 190

The least common multiple (LCM) of 83 and 190 is 15770.

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 83 and 190?

First, calculate the GCD of 83 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 190 = 0 remainder 83
2 190 ÷ 83 = 2 remainder 24
3 83 ÷ 24 = 3 remainder 11
4 24 ÷ 11 = 2 remainder 2
5 11 ÷ 2 = 5 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
85 and 50850
153 and 406120
177 and 16128497
168 and 1236888
39 and 54702

Try Calculating LCM of Other Numbers







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