Least Common Multiple (LCM) of 101 and 49
The least common multiple (LCM) of 101 and 49 is 4949.
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 101 and 49?
First, calculate the GCD of 101 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 49 = 2 remainder 3 |
| 2 | 49 ÷ 3 = 16 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 85 | 1190 |
| 133 and 180 | 23940 |
| 132 and 93 | 4092 |
| 188 and 127 | 23876 |
| 123 and 77 | 9471 |