Least Common Multiple (LCM) of 28 and 70
The least common multiple (LCM) of 28 and 70 is 140.
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 28 and 70?
First, calculate the GCD of 28 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 70 = 0 remainder 28 |
| 2 | 70 ÷ 28 = 2 remainder 14 |
| 3 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 10 | 230 |
| 152 and 43 | 6536 |
| 76 and 115 | 8740 |
| 60 and 196 | 2940 |
| 145 and 171 | 24795 |