Least Common Multiple (LCM) of 158 and 140
The least common multiple (LCM) of 158 and 140 is 11060.
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 158 and 140?
First, calculate the GCD of 158 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 140 = 1 remainder 18 |
| 2 | 140 ÷ 18 = 7 remainder 14 |
| 3 | 18 ÷ 14 = 1 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 105 | 630 |
| 88 and 59 | 5192 |
| 147 and 90 | 4410 |
| 89 and 119 | 10591 |
| 90 and 195 | 1170 |