Least Common Multiple (LCM) of 62 and 52
The least common multiple (LCM) of 62 and 52 is 1612.
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 52?
First, calculate the GCD of 62 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 52 = 1 remainder 10 |
| 2 | 52 ÷ 10 = 5 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 197 | 37233 |
| 149 and 20 | 2980 |
| 74 and 66 | 2442 |
| 54 and 86 | 2322 |
| 113 and 190 | 21470 |