Least Common Multiple (LCM) of 61 and 76
The least common multiple (LCM) of 61 and 76 is 4636.
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 61 and 76?
First, calculate the GCD of 61 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 76 = 0 remainder 61 |
| 2 | 76 ÷ 61 = 1 remainder 15 |
| 3 | 61 ÷ 15 = 4 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 198 | 3762 |
| 197 and 189 | 37233 |
| 29 and 153 | 4437 |
| 39 and 199 | 7761 |
| 179 and 89 | 15931 |