Least Common Multiple (LCM) of 76 and 35
The least common multiple (LCM) of 76 and 35 is 2660.
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 35?
First, calculate the GCD of 76 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 35 = 2 remainder 6 |
| 2 | 35 ÷ 6 = 5 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 184 | 36248 |
| 106 and 83 | 8798 |
| 175 and 154 | 3850 |
| 133 and 90 | 11970 |
| 77 and 166 | 12782 |