Least Common Multiple (LCM) of 137 and 70
The least common multiple (LCM) of 137 and 70 is 9590.
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 137 and 70?
First, calculate the GCD of 137 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 70 = 1 remainder 67 |
| 2 | 70 ÷ 67 = 1 remainder 3 |
| 3 | 67 ÷ 3 = 22 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 162 | 648 |
| 170 and 20 | 340 |
| 37 and 47 | 1739 |
| 138 and 22 | 1518 |
| 110 and 46 | 2530 |