Least Common Multiple (LCM) of 76 and 153
The least common multiple (LCM) of 76 and 153 is 11628.
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 76 and 153?
First, calculate the GCD of 76 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 153 = 0 remainder 76 |
| 2 | 153 ÷ 76 = 2 remainder 1 |
| 3 | 76 ÷ 1 = 76 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 137 | 14385 |
| 82 and 151 | 12382 |
| 101 and 194 | 19594 |
| 91 and 162 | 14742 |
| 102 and 22 | 1122 |