Least Common Multiple (LCM) of 84 and 62
The least common multiple (LCM) of 84 and 62 is 2604.
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 84 and 62?
First, calculate the GCD of 84 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 62 = 1 remainder 22 |
| 2 | 62 ÷ 22 = 2 remainder 18 |
| 3 | 22 ÷ 18 = 1 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 121 | 19723 |
| 136 and 13 | 1768 |
| 87 and 178 | 15486 |
| 26 and 84 | 1092 |
| 62 and 186 | 186 |