Least Common Multiple (LCM) of 94 and 153
The least common multiple (LCM) of 94 and 153 is 14382.
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 94 and 153?
First, calculate the GCD of 94 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 153 = 0 remainder 94 |
| 2 | 153 ÷ 94 = 1 remainder 59 |
| 3 | 94 ÷ 59 = 1 remainder 35 |
| 4 | 59 ÷ 35 = 1 remainder 24 |
| 5 | 35 ÷ 24 = 1 remainder 11 |
| 6 | 24 ÷ 11 = 2 remainder 2 |
| 7 | 11 ÷ 2 = 5 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 65 | 520 |
| 106 and 33 | 3498 |
| 97 and 56 | 5432 |
| 135 and 24 | 1080 |
| 93 and 67 | 6231 |