Least Common Multiple (LCM) of 148 and 79
The least common multiple (LCM) of 148 and 79 is 11692.
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 148 and 79?
First, calculate the GCD of 148 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 79 = 1 remainder 69 |
| 2 | 79 ÷ 69 = 1 remainder 10 |
| 3 | 69 ÷ 10 = 6 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 113 | 13108 |
| 55 and 18 | 990 |
| 34 and 140 | 2380 |
| 96 and 156 | 1248 |
| 110 and 103 | 11330 |