Least Common Multiple (LCM) of 30 and 149
The least common multiple (LCM) of 30 and 149 is 4470.
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 30 and 149?
First, calculate the GCD of 30 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 149 = 0 remainder 30 |
| 2 | 149 ÷ 30 = 4 remainder 29 |
| 3 | 30 ÷ 29 = 1 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 26 | 1170 |
| 64 and 118 | 3776 |
| 11 and 166 | 1826 |
| 121 and 194 | 23474 |
| 165 and 55 | 165 |