Least Common Multiple (LCM) of 153 and 116
The least common multiple (LCM) of 153 and 116 is 17748.
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 116?
First, calculate the GCD of 153 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 116 = 1 remainder 37 |
| 2 | 116 ÷ 37 = 3 remainder 5 |
| 3 | 37 ÷ 5 = 7 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 156 | 3900 |
| 183 and 21 | 1281 |
| 110 and 135 | 2970 |
| 106 and 10 | 530 |
| 69 and 65 | 4485 |