Least Common Multiple (LCM) of 149 and 51
The least common multiple (LCM) of 149 and 51 is 7599.
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 51?
First, calculate the GCD of 149 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 51 = 2 remainder 47 |
| 2 | 51 ÷ 47 = 1 remainder 4 |
| 3 | 47 ÷ 4 = 11 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 62 | 4154 |
| 167 and 115 | 19205 |
| 22 and 57 | 1254 |
| 136 and 162 | 11016 |
| 38 and 89 | 3382 |