Least Common Multiple (LCM) of 149 and 60
The least common multiple (LCM) of 149 and 60 is 8940.
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 60?
First, calculate the GCD of 149 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 60 = 2 remainder 29 |
| 2 | 60 ÷ 29 = 2 remainder 2 |
| 3 | 29 ÷ 2 = 14 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 98 | 1470 |
| 91 and 190 | 17290 |
| 72 and 83 | 5976 |
| 122 and 73 | 8906 |
| 164 and 88 | 3608 |