Least Common Multiple (LCM) of 80 and 151
The least common multiple (LCM) of 80 and 151 is 12080.
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 151?
First, calculate the GCD of 80 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 151 = 0 remainder 80 |
| 2 | 151 ÷ 80 = 1 remainder 71 |
| 3 | 80 ÷ 71 = 1 remainder 9 |
| 4 | 71 ÷ 9 = 7 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 171 | 11457 |
| 64 and 35 | 2240 |
| 140 and 157 | 21980 |
| 40 and 189 | 7560 |
| 113 and 42 | 4746 |