Least Common Multiple (LCM) of 144 and 157
The least common multiple (LCM) of 144 and 157 is 22608.
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 144 and 157?
First, calculate the GCD of 144 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 157 = 0 remainder 144 |
| 2 | 157 ÷ 144 = 1 remainder 13 |
| 3 | 144 ÷ 13 = 11 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 31 | 3596 |
| 175 and 105 | 525 |
| 37 and 42 | 1554 |
| 49 and 39 | 1911 |
| 76 and 108 | 2052 |