Least Common Multiple (LCM) of 119 and 153
The least common multiple (LCM) of 119 and 153 is 1071.
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 153?
First, calculate the GCD of 119 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 153 = 0 remainder 119 |
| 2 | 153 ÷ 119 = 1 remainder 34 |
| 3 | 119 ÷ 34 = 3 remainder 17 |
| 4 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 38 | 4522 |
| 100 and 194 | 9700 |
| 55 and 26 | 1430 |
| 68 and 77 | 5236 |
| 146 and 109 | 15914 |