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Least Common Multiple (LCM) of 39 and 193

The least common multiple (LCM) of 39 and 193 is 7527.

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 39 and 193?

First, calculate the GCD of 39 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 39 ÷ 193 = 0 remainder 39
2 193 ÷ 39 = 4 remainder 37
3 39 ÷ 37 = 1 remainder 2
4 37 ÷ 2 = 18 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 16730394
193 and 18535705
40 and 1837320
136 and 11115096
42 and 672814

Try Calculating LCM of Other Numbers







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