Least Common Multiple (LCM) of 70 and 142
The least common multiple (LCM) of 70 and 142 is 4970.
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 142?
First, calculate the GCD of 70 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 142 = 0 remainder 70 |
| 2 | 142 ÷ 70 = 2 remainder 2 |
| 3 | 70 ÷ 2 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 180 | 26820 |
| 133 and 129 | 17157 |
| 198 and 148 | 14652 |
| 140 and 88 | 3080 |
| 105 and 185 | 3885 |