Least Common Multiple (LCM) of 91 and 149
The least common multiple (LCM) of 91 and 149 is 13559.
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 91 and 149?
First, calculate the GCD of 91 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 149 = 0 remainder 91 |
| 2 | 149 ÷ 91 = 1 remainder 58 |
| 3 | 91 ÷ 58 = 1 remainder 33 |
| 4 | 58 ÷ 33 = 1 remainder 25 |
| 5 | 33 ÷ 25 = 1 remainder 8 |
| 6 | 25 ÷ 8 = 3 remainder 1 |
| 7 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 84 | 2100 |
| 141 and 18 | 846 |
| 145 and 123 | 17835 |
| 154 and 51 | 7854 |
| 136 and 143 | 19448 |