Least Common Multiple (LCM) of 142 and 149
The least common multiple (LCM) of 142 and 149 is 21158.
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 142 and 149?
First, calculate the GCD of 142 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 149 = 0 remainder 142 |
| 2 | 149 ÷ 142 = 1 remainder 7 |
| 3 | 142 ÷ 7 = 20 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 23 | 1748 |
| 183 and 40 | 7320 |
| 91 and 113 | 10283 |
| 140 and 60 | 420 |
| 160 and 67 | 10720 |