Least Common Multiple (LCM) of 151 and 44
The least common multiple (LCM) of 151 and 44 is 6644.
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 151 and 44?
First, calculate the GCD of 151 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 44 = 3 remainder 19 |
| 2 | 44 ÷ 19 = 2 remainder 6 |
| 3 | 19 ÷ 6 = 3 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 151 | 20838 |
| 168 and 97 | 16296 |
| 157 and 104 | 16328 |
| 14 and 78 | 546 |
| 126 and 180 | 1260 |