Least Common Multiple (LCM) of 97 and 124
The least common multiple (LCM) of 97 and 124 is 12028.
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 97 and 124?
First, calculate the GCD of 97 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 124 = 0 remainder 97 |
| 2 | 124 ÷ 97 = 1 remainder 27 |
| 3 | 97 ÷ 27 = 3 remainder 16 |
| 4 | 27 ÷ 16 = 1 remainder 11 |
| 5 | 16 ÷ 11 = 1 remainder 5 |
| 6 | 11 ÷ 5 = 2 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 142 | 2414 |
| 190 and 144 | 13680 |
| 104 and 145 | 15080 |
| 148 and 168 | 6216 |
| 45 and 87 | 1305 |