Least Common Multiple (LCM) of 70 and 92
The least common multiple (LCM) of 70 and 92 is 3220.
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 92?
First, calculate the GCD of 70 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 92 = 0 remainder 70 |
| 2 | 92 ÷ 70 = 1 remainder 22 |
| 3 | 70 ÷ 22 = 3 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 108 | 18252 |
| 73 and 75 | 5475 |
| 110 and 53 | 5830 |
| 182 and 149 | 27118 |
| 30 and 80 | 240 |