Least Common Multiple (LCM) of 51 and 61
The least common multiple (LCM) of 51 and 61 is 3111.
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 51 and 61?
First, calculate the GCD of 51 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 61 = 0 remainder 51 |
| 2 | 61 ÷ 51 = 1 remainder 10 |
| 3 | 51 ÷ 10 = 5 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 132 | 19668 |
| 176 and 135 | 23760 |
| 34 and 70 | 1190 |
| 118 and 135 | 15930 |
| 80 and 194 | 7760 |