Least Common Multiple (LCM) of 91 and 152
The least common multiple (LCM) of 91 and 152 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 91 and 152?
First, calculate the GCD of 91 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 152 = 0 remainder 91 |
| 2 | 152 ÷ 91 = 1 remainder 61 |
| 3 | 91 ÷ 61 = 1 remainder 30 |
| 4 | 61 ÷ 30 = 2 remainder 1 |
| 5 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 108 | 8316 |
| 112 and 82 | 4592 |
| 159 and 107 | 17013 |
| 106 and 22 | 1166 |
| 113 and 42 | 4746 |