HowManyNumbers Logo

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
164 and 1445904
118 and 1227198
71 and 624402
164 and 441804
187 and 14226554

Try Calculating LCM of Other Numbers







Related Calculators