Least Common Multiple (LCM) of 152 and 91
The least common multiple (LCM) of 152 and 91 is 13832.
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 91?
First, calculate the GCD of 152 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 91 = 1 remainder 61 |
| 2 | 91 ÷ 61 = 1 remainder 30 |
| 3 | 61 ÷ 30 = 2 remainder 1 |
| 4 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 143 | 143 |
| 156 and 137 | 21372 |
| 43 and 193 | 8299 |
| 87 and 77 | 6699 |
| 184 and 85 | 15640 |