Least Common Multiple (LCM) of 37 and 70
The least common multiple (LCM) of 37 and 70 is 2590.
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 37 and 70?
First, calculate the GCD of 37 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 70 = 0 remainder 37 |
| 2 | 70 ÷ 37 = 1 remainder 33 |
| 3 | 37 ÷ 33 = 1 remainder 4 |
| 4 | 33 ÷ 4 = 8 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 79 | 2607 |
| 185 and 110 | 4070 |
| 24 and 24 | 24 |
| 147 and 114 | 5586 |
| 170 and 179 | 30430 |