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 |
|---|---|
| 153 and 34 | 306 |
| 101 and 94 | 9494 |
| 140 and 159 | 22260 |
| 54 and 176 | 4752 |
| 122 and 49 | 5978 |