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Least Common Multiple (LCM) of 21 and 193

The least common multiple (LCM) of 21 and 193 is 4053.

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 21 and 193?

First, calculate the GCD of 21 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 193 = 0 remainder 21
2 193 ÷ 21 = 9 remainder 4
3 21 ÷ 4 = 5 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
50 and 1638150
163 and 17027710
27 and 1784806
61 and 17310553
119 and 16419516

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