Least Common Multiple (LCM) of 84 and 63
The least common multiple (LCM) of 84 and 63 is 252.
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 63?
First, calculate the GCD of 84 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 63 = 1 remainder 21 |
| 2 | 63 ÷ 21 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 133 | 22211 |
| 150 and 16 | 1200 |
| 107 and 138 | 14766 |
| 145 and 169 | 24505 |
| 36 and 175 | 6300 |