Least Common Multiple (LCM) of 80 and 153
The least common multiple (LCM) of 80 and 153 is 12240.
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 80 and 153?
First, calculate the GCD of 80 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 153 = 0 remainder 80 |
| 2 | 153 ÷ 80 = 1 remainder 73 |
| 3 | 80 ÷ 73 = 1 remainder 7 |
| 4 | 73 ÷ 7 = 10 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 119 | 23443 |
| 106 and 199 | 21094 |
| 69 and 40 | 2760 |
| 148 and 87 | 12876 |
| 123 and 91 | 11193 |