Least Common Multiple (LCM) of 46 and 79
The least common multiple (LCM) of 46 and 79 is 3634.
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 46 and 79?
First, calculate the GCD of 46 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 79 = 0 remainder 46 |
| 2 | 79 ÷ 46 = 1 remainder 33 |
| 3 | 46 ÷ 33 = 1 remainder 13 |
| 4 | 33 ÷ 13 = 2 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 103 | 13699 |
| 120 and 29 | 3480 |
| 166 and 111 | 18426 |
| 145 and 87 | 435 |
| 42 and 129 | 1806 |