Least Common Multiple (LCM) of 149 and 58
The least common multiple (LCM) of 149 and 58 is 8642.
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 58?
First, calculate the GCD of 149 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 58 = 2 remainder 33 |
| 2 | 58 ÷ 33 = 1 remainder 25 |
| 3 | 33 ÷ 25 = 1 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 62 | 3410 |
| 18 and 139 | 2502 |
| 123 and 10 | 1230 |
| 80 and 162 | 6480 |
| 57 and 137 | 7809 |