Least Common Multiple (LCM) of 119 and 150
The least common multiple (LCM) of 119 and 150 is 17850.
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 119 and 150?
First, calculate the GCD of 119 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 150 = 0 remainder 119 |
| 2 | 150 ÷ 119 = 1 remainder 31 |
| 3 | 119 ÷ 31 = 3 remainder 26 |
| 4 | 31 ÷ 26 = 1 remainder 5 |
| 5 | 26 ÷ 5 = 5 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 180 | 8820 |
| 152 and 64 | 1216 |
| 51 and 96 | 1632 |
| 15 and 170 | 510 |
| 80 and 35 | 560 |