Least Common Multiple (LCM) of 70 and 32
The least common multiple (LCM) of 70 and 32 is 1120.
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 70 and 32?
First, calculate the GCD of 70 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 32 = 2 remainder 6 |
| 2 | 32 ÷ 6 = 5 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 185 | 19610 |
| 124 and 16 | 496 |
| 200 and 112 | 2800 |
| 193 and 62 | 11966 |
| 142 and 72 | 5112 |