Least Common Multiple (LCM) of 145 and 88
The least common multiple (LCM) of 145 and 88 is 12760.
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 145 and 88?
First, calculate the GCD of 145 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 88 = 1 remainder 57 |
| 2 | 88 ÷ 57 = 1 remainder 31 |
| 3 | 57 ÷ 31 = 1 remainder 26 |
| 4 | 31 ÷ 26 = 1 remainder 5 |
| 5 | 26 ÷ 5 = 5 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 117 | 4095 |
| 38 and 70 | 1330 |
| 172 and 122 | 10492 |
| 195 and 114 | 7410 |
| 16 and 133 | 2128 |