Least Common Multiple (LCM) of 143 and 70
The least common multiple (LCM) of 143 and 70 is 10010.
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 143 and 70?
First, calculate the GCD of 143 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 70 = 2 remainder 3 |
| 2 | 70 ÷ 3 = 23 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 106 | 1696 |
| 113 and 124 | 14012 |
| 114 and 171 | 342 |
| 190 and 57 | 570 |
| 137 and 22 | 3014 |