Least Common Multiple (LCM) of 90 and 95
The least common multiple (LCM) of 90 and 95 is 1710.
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 95?
First, calculate the GCD of 90 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 95 = 0 remainder 90 |
| 2 | 95 ÷ 90 = 1 remainder 5 |
| 3 | 90 ÷ 5 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 88 | 9416 |
| 103 and 141 | 14523 |
| 199 and 41 | 8159 |
| 154 and 182 | 2002 |
| 77 and 160 | 12320 |