Least Common Multiple (LCM) of 153 and 119
The least common multiple (LCM) of 153 and 119 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 153 and 119?
First, calculate the GCD of 153 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 119 = 1 remainder 34 |
| 2 | 119 ÷ 34 = 3 remainder 17 |
| 3 | 34 ÷ 17 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 133 | 19950 |
| 123 and 37 | 4551 |
| 109 and 84 | 9156 |
| 96 and 88 | 1056 |
| 71 and 179 | 12709 |