Least Common Multiple (LCM) of 141 and 88
The least common multiple (LCM) of 141 and 88 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 141 and 88?
First, calculate the GCD of 141 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 88 = 1 remainder 53 |
| 2 | 88 ÷ 53 = 1 remainder 35 |
| 3 | 53 ÷ 35 = 1 remainder 18 |
| 4 | 35 ÷ 18 = 1 remainder 17 |
| 5 | 18 ÷ 17 = 1 remainder 1 |
| 6 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 42 | 294 |
| 111 and 52 | 5772 |
| 84 and 120 | 840 |
| 58 and 196 | 5684 |
| 148 and 56 | 2072 |