Least Common Multiple (LCM) of 36 and 62
The least common multiple (LCM) of 36 and 62 is 1116.
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 36 and 62?
First, calculate the GCD of 36 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 62 = 0 remainder 36 |
| 2 | 62 ÷ 36 = 1 remainder 26 |
| 3 | 36 ÷ 26 = 1 remainder 10 |
| 4 | 26 ÷ 10 = 2 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 159 | 27825 |
| 139 and 135 | 18765 |
| 34 and 190 | 3230 |
| 142 and 156 | 11076 |
| 71 and 29 | 2059 |