Least Common Multiple (LCM) of 152 and 93
The least common multiple (LCM) of 152 and 93 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 152 and 93?
First, calculate the GCD of 152 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 93 = 1 remainder 59 |
| 2 | 93 ÷ 59 = 1 remainder 34 |
| 3 | 59 ÷ 34 = 1 remainder 25 |
| 4 | 34 ÷ 25 = 1 remainder 9 |
| 5 | 25 ÷ 9 = 2 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 172 | 1548 |
| 174 and 21 | 1218 |
| 185 and 120 | 4440 |
| 82 and 194 | 7954 |
| 20 and 62 | 620 |