Least Common Multiple (LCM) of 153 and 80
The least common multiple (LCM) of 153 and 80 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 153 and 80?
First, calculate the GCD of 153 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 80 = 1 remainder 73 |
| 2 | 80 ÷ 73 = 1 remainder 7 |
| 3 | 73 ÷ 7 = 10 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 16 | 2512 |
| 73 and 153 | 11169 |
| 151 and 22 | 3322 |
| 160 and 59 | 9440 |
| 15 and 181 | 2715 |