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 |
|---|---|
| 172 and 124 | 5332 |
| 103 and 140 | 14420 |
| 78 and 131 | 10218 |
| 159 and 159 | 159 |
| 52 and 51 | 2652 |