Least Common Multiple (LCM) of 93 and 152
The least common multiple (LCM) of 93 and 152 is 14136.
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 152?
First, calculate the GCD of 93 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 152 = 0 remainder 93 |
| 2 | 152 ÷ 93 = 1 remainder 59 |
| 3 | 93 ÷ 59 = 1 remainder 34 |
| 4 | 59 ÷ 34 = 1 remainder 25 |
| 5 | 34 ÷ 25 = 1 remainder 9 |
| 6 | 25 ÷ 9 = 2 remainder 7 |
| 7 | 9 ÷ 7 = 1 remainder 2 |
| 8 | 7 ÷ 2 = 3 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 17 | 1428 |
| 106 and 49 | 5194 |
| 58 and 107 | 6206 |
| 178 and 65 | 11570 |
| 117 and 153 | 1989 |