Least Common Multiple (LCM) of 159 and 70
The least common multiple (LCM) of 159 and 70 is 11130.
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 159 and 70?
First, calculate the GCD of 159 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 70 = 2 remainder 19 |
| 2 | 70 ÷ 19 = 3 remainder 13 |
| 3 | 19 ÷ 13 = 1 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 181 | 20996 |
| 189 and 169 | 31941 |
| 122 and 139 | 16958 |
| 110 and 79 | 8690 |
| 12 and 128 | 384 |