Least Common Multiple (LCM) of 149 and 59
The least common multiple (LCM) of 149 and 59 is 8791.
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 149 and 59?
First, calculate the GCD of 149 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 59 = 2 remainder 31 |
| 2 | 59 ÷ 31 = 1 remainder 28 |
| 3 | 31 ÷ 28 = 1 remainder 3 |
| 4 | 28 ÷ 3 = 9 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 98 | 98 |
| 160 and 70 | 1120 |
| 101 and 22 | 2222 |
| 96 and 57 | 1824 |
| 85 and 199 | 16915 |