Least Common Multiple (LCM) of 62 and 145
The least common multiple (LCM) of 62 and 145 is 8990.
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 145?
First, calculate the GCD of 62 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 145 = 0 remainder 62 |
| 2 | 145 ÷ 62 = 2 remainder 21 |
| 3 | 62 ÷ 21 = 2 remainder 20 |
| 4 | 21 ÷ 20 = 1 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 71 | 11857 |
| 57 and 184 | 10488 |
| 78 and 54 | 702 |
| 135 and 186 | 8370 |
| 178 and 117 | 20826 |