Least Common Multiple (LCM) of 93 and 149
The least common multiple (LCM) of 93 and 149 is 13857.
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 93 and 149?
First, calculate the GCD of 93 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 149 = 0 remainder 93 |
| 2 | 149 ÷ 93 = 1 remainder 56 |
| 3 | 93 ÷ 56 = 1 remainder 37 |
| 4 | 56 ÷ 37 = 1 remainder 19 |
| 5 | 37 ÷ 19 = 1 remainder 18 |
| 6 | 19 ÷ 18 = 1 remainder 1 |
| 7 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 160 | 22240 |
| 174 and 200 | 17400 |
| 101 and 21 | 2121 |
| 44 and 76 | 836 |
| 189 and 45 | 945 |