Least Common Multiple (LCM) of 90 and 153
The least common multiple (LCM) of 90 and 153 is 1530.
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 90 and 153?
First, calculate the GCD of 90 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 153 = 0 remainder 90 |
| 2 | 153 ÷ 90 = 1 remainder 63 |
| 3 | 90 ÷ 63 = 1 remainder 27 |
| 4 | 63 ÷ 27 = 2 remainder 9 |
| 5 | 27 ÷ 9 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 15 | 135 |
| 19 and 187 | 3553 |
| 90 and 91 | 8190 |
| 180 and 75 | 900 |
| 158 and 52 | 4108 |