Least Common Multiple (LCM) of 151 and 89
The least common multiple (LCM) of 151 and 89 is 13439.
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 89?
First, calculate the GCD of 151 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 89 = 1 remainder 62 |
| 2 | 89 ÷ 62 = 1 remainder 27 |
| 3 | 62 ÷ 27 = 2 remainder 8 |
| 4 | 27 ÷ 8 = 3 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 171 | 9576 |
| 48 and 36 | 144 |
| 37 and 58 | 2146 |
| 70 and 96 | 3360 |
| 137 and 18 | 2466 |