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Least Common Multiple (LCM) of 163 and 186

The least common multiple (LCM) of 163 and 186 is 30318.

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 163 and 186?

First, calculate the GCD of 163 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 163 ÷ 186 = 0 remainder 163
2 186 ÷ 163 = 1 remainder 23
3 163 ÷ 23 = 7 remainder 2
4 23 ÷ 2 = 11 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
193 and 13526055
38 and 1021938
12 and 1484
180 and 867740
15 and 1782670

Try Calculating LCM of Other Numbers







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