Least Common Multiple (LCM) of 62 and 101
The least common multiple (LCM) of 62 and 101 is 6262.
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 101?
First, calculate the GCD of 62 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 101 = 0 remainder 62 |
| 2 | 101 ÷ 62 = 1 remainder 39 |
| 3 | 62 ÷ 39 = 1 remainder 23 |
| 4 | 39 ÷ 23 = 1 remainder 16 |
| 5 | 23 ÷ 16 = 1 remainder 7 |
| 6 | 16 ÷ 7 = 2 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 59 | 11682 |
| 85 and 159 | 13515 |
| 197 and 167 | 32899 |
| 123 and 143 | 17589 |
| 122 and 62 | 3782 |