Least Common Multiple (LCM) of 119 and 152
The least common multiple (LCM) of 119 and 152 is 18088.
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 152?
First, calculate the GCD of 119 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 152 = 0 remainder 119 |
| 2 | 152 ÷ 119 = 1 remainder 33 |
| 3 | 119 ÷ 33 = 3 remainder 20 |
| 4 | 33 ÷ 20 = 1 remainder 13 |
| 5 | 20 ÷ 13 = 1 remainder 7 |
| 6 | 13 ÷ 7 = 1 remainder 6 |
| 7 | 7 ÷ 6 = 1 remainder 1 |
| 8 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 114 | 2736 |
| 101 and 133 | 13433 |
| 31 and 136 | 4216 |
| 187 and 63 | 11781 |
| 109 and 146 | 15914 |