Least Common Multiple (LCM) of 39 and 70
The least common multiple (LCM) of 39 and 70 is 2730.
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 39 and 70?
First, calculate the GCD of 39 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 70 = 0 remainder 39 |
| 2 | 70 ÷ 39 = 1 remainder 31 |
| 3 | 39 ÷ 31 = 1 remainder 8 |
| 4 | 31 ÷ 8 = 3 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 88 | 5544 |
| 61 and 145 | 8845 |
| 174 and 171 | 9918 |
| 164 and 36 | 1476 |
| 10 and 160 | 160 |