HowManyNumbers Logo

Least Common Multiple (LCM) of 159 and 194

The least common multiple (LCM) of 159 and 194 is 30846.

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 159 and 194?

First, calculate the GCD of 159 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 159 ÷ 194 = 0 remainder 159
2 194 ÷ 159 = 1 remainder 35
3 159 ÷ 35 = 4 remainder 19
4 35 ÷ 19 = 1 remainder 16
5 19 ÷ 16 = 1 remainder 3
6 16 ÷ 3 = 5 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 515151
60 and 44660
58 and 1498642
67 and 19513065
143 and 1321716

Try Calculating LCM of Other Numbers







Related Calculators