Least Common Multiple (LCM) of 80 and 148
The least common multiple (LCM) of 80 and 148 is 2960.
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 148?
First, calculate the GCD of 80 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 148 = 0 remainder 80 |
| 2 | 148 ÷ 80 = 1 remainder 68 |
| 3 | 80 ÷ 68 = 1 remainder 12 |
| 4 | 68 ÷ 12 = 5 remainder 8 |
| 5 | 12 ÷ 8 = 1 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 13 | 182 |
| 70 and 65 | 910 |
| 38 and 56 | 1064 |
| 124 and 85 | 10540 |
| 143 and 50 | 7150 |