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 |
|---|---|
| 87 and 27 | 783 |
| 29 and 74 | 2146 |
| 197 and 179 | 35263 |
| 121 and 72 | 8712 |
| 102 and 149 | 15198 |