Least Common Multiple (LCM) of 63 and 91
The least common multiple (LCM) of 63 and 91 is 819.
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 63 and 91?
First, calculate the GCD of 63 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 91 = 0 remainder 63 |
| 2 | 91 ÷ 63 = 1 remainder 28 |
| 3 | 63 ÷ 28 = 2 remainder 7 |
| 4 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 104 | 8008 |
| 117 and 162 | 2106 |
| 146 and 55 | 8030 |
| 96 and 163 | 15648 |
| 51 and 108 | 1836 |