Least Common Multiple (LCM) of 149 and 76
The least common multiple (LCM) of 149 and 76 is 11324.
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 76?
First, calculate the GCD of 149 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 76 = 1 remainder 73 |
| 2 | 76 ÷ 73 = 1 remainder 3 |
| 3 | 73 ÷ 3 = 24 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 15 | 615 |
| 83 and 13 | 1079 |
| 58 and 104 | 3016 |
| 130 and 178 | 11570 |
| 189 and 12 | 756 |