Least Common Multiple (LCM) of 88 and 141
The least common multiple (LCM) of 88 and 141 is 12408.
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 141?
First, calculate the GCD of 88 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 141 = 0 remainder 88 |
| 2 | 141 ÷ 88 = 1 remainder 53 |
| 3 | 88 ÷ 53 = 1 remainder 35 |
| 4 | 53 ÷ 35 = 1 remainder 18 |
| 5 | 35 ÷ 18 = 1 remainder 17 |
| 6 | 18 ÷ 17 = 1 remainder 1 |
| 7 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 116 | 9164 |
| 153 and 32 | 4896 |
| 176 and 177 | 31152 |
| 171 and 60 | 3420 |
| 200 and 14 | 1400 |