Least Common Multiple (LCM) of 157 and 44
The least common multiple (LCM) of 157 and 44 is 6908.
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 157 and 44?
First, calculate the GCD of 157 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 44 = 3 remainder 25 |
| 2 | 44 ÷ 25 = 1 remainder 19 |
| 3 | 25 ÷ 19 = 1 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 191 | 30178 |
| 128 and 189 | 24192 |
| 170 and 189 | 32130 |
| 53 and 195 | 10335 |
| 52 and 139 | 7228 |