Least Common Multiple (LCM) of 119 and 148
The least common multiple (LCM) of 119 and 148 is 17612.
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 148?
First, calculate the GCD of 119 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 148 = 0 remainder 119 |
| 2 | 148 ÷ 119 = 1 remainder 29 |
| 3 | 119 ÷ 29 = 4 remainder 3 |
| 4 | 29 ÷ 3 = 9 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 132 | 7524 |
| 187 and 137 | 25619 |
| 96 and 98 | 4704 |
| 102 and 146 | 7446 |
| 78 and 93 | 2418 |