Least Common Multiple (LCM) of 167 and 90
The least common multiple (LCM) of 167 and 90 is 15030.
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 167 and 90?
First, calculate the GCD of 167 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 90 = 1 remainder 77 |
| 2 | 90 ÷ 77 = 1 remainder 13 |
| 3 | 77 ÷ 13 = 5 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 72 | 4680 |
| 196 and 97 | 19012 |
| 114 and 40 | 2280 |
| 39 and 41 | 1599 |
| 109 and 115 | 12535 |