Least Common Multiple (LCM) of 79 and 148
The least common multiple (LCM) of 79 and 148 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 79 and 148?
First, calculate the GCD of 79 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 148 = 0 remainder 79 |
| 2 | 148 ÷ 79 = 1 remainder 69 |
| 3 | 79 ÷ 69 = 1 remainder 10 |
| 4 | 69 ÷ 10 = 6 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 54 | 4806 |
| 196 and 74 | 7252 |
| 15 and 165 | 165 |
| 61 and 45 | 2745 |
| 120 and 84 | 840 |