Least Common Multiple (LCM) of 144 and 70
The least common multiple (LCM) of 144 and 70 is 5040.
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 144 and 70?
First, calculate the GCD of 144 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 70 = 2 remainder 4 |
| 2 | 70 ÷ 4 = 17 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 148 | 17612 |
| 34 and 90 | 1530 |
| 176 and 45 | 7920 |
| 177 and 80 | 14160 |
| 14 and 101 | 1414 |