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Least Common Multiple (LCM) of 194 and 122

The least common multiple (LCM) of 194 and 122 is 11834.

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 122?

First, calculate the GCD of 194 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 122 = 1 remainder 72
2 122 ÷ 72 = 1 remainder 50
3 72 ÷ 50 = 1 remainder 22
4 50 ÷ 22 = 2 remainder 6
5 22 ÷ 6 = 3 remainder 4
6 6 ÷ 4 = 1 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
58 and 802320
141 and 15421714
115 and 1353105
143 and 11616588
161 and 629982

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