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Least Common Multiple (LCM) of 38 and 193

The least common multiple (LCM) of 38 and 193 is 7334.

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 38 and 193?

First, calculate the GCD of 38 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 193 = 0 remainder 38
2 193 ÷ 38 = 5 remainder 3
3 38 ÷ 3 = 12 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 1375754
119 and 13516065
99 and 504950
21 and 56168
186 and 12372

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