Least Common Multiple (LCM) of 88 and 63
The least common multiple (LCM) of 88 and 63 is 5544.
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 88 and 63?
First, calculate the GCD of 88 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 63 = 1 remainder 25 |
| 2 | 63 ÷ 25 = 2 remainder 13 |
| 3 | 25 ÷ 13 = 1 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 60 | 180 |
| 184 and 176 | 4048 |
| 109 and 192 | 20928 |
| 190 and 111 | 21090 |
| 152 and 119 | 18088 |