Least Common Multiple (LCM) of 141 and 157
The least common multiple (LCM) of 141 and 157 is 22137.
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 141 and 157?
First, calculate the GCD of 141 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 157 = 0 remainder 141 |
| 2 | 157 ÷ 141 = 1 remainder 16 |
| 3 | 141 ÷ 16 = 8 remainder 13 |
| 4 | 16 ÷ 13 = 1 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 34 | 2346 |
| 65 and 51 | 3315 |
| 12 and 79 | 948 |
| 152 and 74 | 5624 |
| 110 and 83 | 9130 |