Least Common Multiple (LCM) of 150 and 119
The least common multiple (LCM) of 150 and 119 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 150 and 119?
First, calculate the GCD of 150 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 119 = 1 remainder 31 |
| 2 | 119 ÷ 31 = 3 remainder 26 |
| 3 | 31 ÷ 26 = 1 remainder 5 |
| 4 | 26 ÷ 5 = 5 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 147 | 12495 |
| 28 and 192 | 1344 |
| 147 and 26 | 3822 |
| 143 and 17 | 2431 |
| 21 and 20 | 420 |