Least Common Multiple (LCM) of 149 and 80
The least common multiple (LCM) of 149 and 80 is 11920.
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 149 and 80?
First, calculate the GCD of 149 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 80 = 1 remainder 69 |
| 2 | 80 ÷ 69 = 1 remainder 11 |
| 3 | 69 ÷ 11 = 6 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 75 | 600 |
| 111 and 127 | 14097 |
| 169 and 29 | 4901 |
| 149 and 124 | 18476 |
| 140 and 113 | 15820 |