Least Common Multiple (LCM) of 149 and 27
The least common multiple (LCM) of 149 and 27 is 4023.
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 27?
First, calculate the GCD of 149 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 27 = 5 remainder 14 |
| 2 | 27 ÷ 14 = 1 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 50 | 2200 |
| 132 and 66 | 132 |
| 114 and 35 | 3990 |
| 129 and 199 | 25671 |
| 113 and 100 | 11300 |