Least Common Multiple (LCM) of 76 and 91
The least common multiple (LCM) of 76 and 91 is 6916.
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 76 and 91?
First, calculate the GCD of 76 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 91 = 0 remainder 76 |
| 2 | 91 ÷ 76 = 1 remainder 15 |
| 3 | 76 ÷ 15 = 5 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 155 | 11315 |
| 122 and 145 | 17690 |
| 39 and 49 | 1911 |
| 139 and 95 | 13205 |
| 164 and 116 | 4756 |