Least Common Multiple (LCM) of 147 and 157
The least common multiple (LCM) of 147 and 157 is 23079.
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 147 and 157?
First, calculate the GCD of 147 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 157 = 0 remainder 147 |
| 2 | 157 ÷ 147 = 1 remainder 10 |
| 3 | 147 ÷ 10 = 14 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 84 | 7476 |
| 171 and 131 | 22401 |
| 74 and 25 | 1850 |
| 23 and 85 | 1955 |
| 171 and 111 | 6327 |