Least Common Multiple (LCM) of 153 and 79
The least common multiple (LCM) of 153 and 79 is 12087.
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 79?
First, calculate the GCD of 153 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 79 = 1 remainder 74 |
| 2 | 79 ÷ 74 = 1 remainder 5 |
| 3 | 74 ÷ 5 = 14 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 96 | 1824 |
| 60 and 152 | 2280 |
| 68 and 11 | 748 |
| 108 and 189 | 756 |
| 125 and 159 | 19875 |