
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
Step | Calculation |
---|---|
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
Numbers | LCM |
---|---|
164 and 144 | 5904 |
118 and 122 | 7198 |
71 and 62 | 4402 |
164 and 44 | 1804 |
187 and 142 | 26554 |