Least Common Multiple (LCM) of 70 and 138
The least common multiple (LCM) of 70 and 138 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 70 and 138?
First, calculate the GCD of 70 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 138 = 0 remainder 70 |
| 2 | 138 ÷ 70 = 1 remainder 68 |
| 3 | 70 ÷ 68 = 1 remainder 2 |
| 4 | 68 ÷ 2 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 150 | 2850 |
| 39 and 59 | 2301 |
| 153 and 25 | 3825 |
| 154 and 147 | 3234 |
| 173 and 190 | 32870 |