Least Common Multiple (LCM) of 149 and 85
The least common multiple (LCM) of 149 and 85 is 12665.
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 149 and 85?
First, calculate the GCD of 149 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 85 = 1 remainder 64 |
| 2 | 85 ÷ 64 = 1 remainder 21 |
| 3 | 64 ÷ 21 = 3 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 178 | 1602 |
| 17 and 16 | 272 |
| 111 and 95 | 10545 |
| 175 and 22 | 3850 |
| 137 and 44 | 6028 |