Least Common Multiple (LCM) of 154 and 119
The least common multiple (LCM) of 154 and 119 is 2618.
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 154 and 119?
First, calculate the GCD of 154 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 119 = 1 remainder 35 |
| 2 | 119 ÷ 35 = 3 remainder 14 |
| 3 | 35 ÷ 14 = 2 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 51 | 7548 |
| 163 and 44 | 7172 |
| 13 and 22 | 286 |
| 175 and 190 | 6650 |
| 136 and 64 | 1088 |