Least Common Multiple (LCM) of 79 and 149
The least common multiple (LCM) of 79 and 149 is 11771.
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 149?
First, calculate the GCD of 79 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 149 = 0 remainder 79 |
| 2 | 149 ÷ 79 = 1 remainder 70 |
| 3 | 79 ÷ 70 = 1 remainder 9 |
| 4 | 70 ÷ 9 = 7 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 55 | 2970 |
| 161 and 104 | 16744 |
| 155 and 131 | 20305 |
| 112 and 59 | 6608 |
| 113 and 56 | 6328 |