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Least Common Multiple (LCM) of 194 and 139

The least common multiple (LCM) of 194 and 139 is 26966.

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 139?

First, calculate the GCD of 194 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 139 = 1 remainder 55
2 139 ÷ 55 = 2 remainder 29
3 55 ÷ 29 = 1 remainder 26
4 29 ÷ 26 = 1 remainder 3
5 26 ÷ 3 = 8 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 36540
11 and 15165
114 and 15517670
111 and 677437
15 and 51255

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