Least Common Multiple (LCM) of 151 and 90
The least common multiple (LCM) of 151 and 90 is 13590.
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 90?
First, calculate the GCD of 151 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 90 = 1 remainder 61 |
| 2 | 90 ÷ 61 = 1 remainder 29 |
| 3 | 61 ÷ 29 = 2 remainder 3 |
| 4 | 29 ÷ 3 = 9 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 82 | 7954 |
| 180 and 195 | 2340 |
| 172 and 135 | 23220 |
| 91 and 175 | 2275 |
| 161 and 85 | 13685 |