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Least Common Multiple (LCM) of 19 and 193

The least common multiple (LCM) of 19 and 193 is 3667.

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 19 and 193?

First, calculate the GCD of 19 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 193 = 0 remainder 19
2 193 ÷ 19 = 10 remainder 3
3 19 ÷ 3 = 6 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
180 and 562520
181 and 6311403
165 and 17929535
45 and 1335985
15 and 1992985

Try Calculating LCM of Other Numbers







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