Least Common Multiple (LCM) of 55 and 49
The least common multiple (LCM) of 55 and 49 is 2695.
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 55 and 49?
First, calculate the GCD of 55 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 49 = 1 remainder 6 |
| 2 | 49 ÷ 6 = 8 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 125 | 15500 |
| 118 and 71 | 8378 |
| 143 and 155 | 22165 |
| 126 and 113 | 14238 |
| 19 and 70 | 1330 |