Least Common Multiple (LCM) of 126 and 90
The least common multiple (LCM) of 126 and 90 is 630.
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 126 and 90?
First, calculate the GCD of 126 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 90 = 1 remainder 36 |
| 2 | 90 ÷ 36 = 2 remainder 18 |
| 3 | 36 ÷ 18 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 91 | 5824 |
| 135 and 37 | 4995 |
| 186 and 160 | 14880 |
| 183 and 64 | 11712 |
| 22 and 111 | 2442 |