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Least Common Multiple (LCM) of 193 and 185

The least common multiple (LCM) of 193 and 185 is 35705.

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 185?

First, calculate the GCD of 193 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 185 = 1 remainder 8
2 185 ÷ 8 = 23 remainder 1
3 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 1486808
12 and 17204
178 and 14926522
174 and 1297482
98 and 19118718

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