Least Common Multiple (LCM) of 90 and 148
The least common multiple (LCM) of 90 and 148 is 6660.
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 148?
First, calculate the GCD of 90 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 148 = 0 remainder 90 |
| 2 | 148 ÷ 90 = 1 remainder 58 |
| 3 | 90 ÷ 58 = 1 remainder 32 |
| 4 | 58 ÷ 32 = 1 remainder 26 |
| 5 | 32 ÷ 26 = 1 remainder 6 |
| 6 | 26 ÷ 6 = 4 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 74 | 4366 |
| 23 and 30 | 690 |
| 146 and 157 | 22922 |
| 182 and 127 | 23114 |
| 149 and 135 | 20115 |