Least Common Multiple (LCM) of 119 and 147
The least common multiple (LCM) of 119 and 147 is 2499.
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 147?
First, calculate the GCD of 119 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 147 = 0 remainder 119 |
| 2 | 147 ÷ 119 = 1 remainder 28 |
| 3 | 119 ÷ 28 = 4 remainder 7 |
| 4 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 125 | 9750 |
| 113 and 65 | 7345 |
| 154 and 82 | 6314 |
| 131 and 184 | 24104 |
| 112 and 40 | 560 |