Least Common Multiple (LCM) of 62 and 97
The least common multiple (LCM) of 62 and 97 is 6014.
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 62 and 97?
First, calculate the GCD of 62 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 97 = 0 remainder 62 |
| 2 | 97 ÷ 62 = 1 remainder 35 |
| 3 | 62 ÷ 35 = 1 remainder 27 |
| 4 | 35 ÷ 27 = 1 remainder 8 |
| 5 | 27 ÷ 8 = 3 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 26 | 1170 |
| 66 and 14 | 462 |
| 44 and 155 | 6820 |
| 13 and 33 | 429 |
| 108 and 110 | 5940 |