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Least Common Multiple (LCM) of 194 and 52

The least common multiple (LCM) of 194 and 52 is 5044.

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 194 and 52?

First, calculate the GCD of 194 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 52 = 3 remainder 38
2 52 ÷ 38 = 1 remainder 14
3 38 ÷ 14 = 2 remainder 10
4 14 ÷ 10 = 1 remainder 4
5 10 ÷ 4 = 2 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 654290
47 and 1959165
176 and 13523760
15 and 66330
85 and 947990

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