Least Common Multiple (LCM) of 138 and 70
The least common multiple (LCM) of 138 and 70 is 4830.
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 138 and 70?
First, calculate the GCD of 138 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 70 = 1 remainder 68 |
| 2 | 70 ÷ 68 = 1 remainder 2 |
| 3 | 68 ÷ 2 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 36 | 1044 |
| 108 and 112 | 3024 |
| 47 and 169 | 7943 |
| 80 and 175 | 2800 |
| 102 and 12 | 204 |