Least Common Multiple (LCM) of 49 and 97
The least common multiple (LCM) of 49 and 97 is 4753.
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 97?
First, calculate the GCD of 49 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 97 = 0 remainder 49 |
| 2 | 97 ÷ 49 = 1 remainder 48 |
| 3 | 49 ÷ 48 = 1 remainder 1 |
| 4 | 48 ÷ 1 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 100 | 2900 |
| 105 and 116 | 12180 |
| 66 and 194 | 6402 |
| 142 and 102 | 7242 |
| 164 and 157 | 25748 |