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Least Common Multiple (LCM) of 193 and 195

The least common multiple (LCM) of 193 and 195 is 37635.

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 193 and 195?

First, calculate the GCD of 193 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 195 = 0 remainder 193
2 195 ÷ 193 = 1 remainder 2
3 193 ÷ 2 = 96 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 552310
61 and 1237503
119 and 631071
25 and 1273175
60 and 291740

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