Least Common Multiple (LCM) of 88 and 114
The least common multiple (LCM) of 88 and 114 is 5016.
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 114?
First, calculate the GCD of 88 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 114 = 0 remainder 88 |
| 2 | 114 ÷ 88 = 1 remainder 26 |
| 3 | 88 ÷ 26 = 3 remainder 10 |
| 4 | 26 ÷ 10 = 2 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 169 | 8112 |
| 75 and 33 | 825 |
| 35 and 66 | 2310 |
| 75 and 167 | 12525 |
| 139 and 31 | 4309 |