Least Common Multiple (LCM) of 49 and 12
The least common multiple (LCM) of 49 and 12 is 588.
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 49 and 12?
First, calculate the GCD of 49 and 12 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 12 = 4 remainder 1 |
| 2 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 116 | 6612 |
| 178 and 173 | 30794 |
| 182 and 131 | 23842 |
| 170 and 85 | 170 |
| 155 and 164 | 25420 |