Least Common Multiple (LCM) of 159 and 149
The least common multiple (LCM) of 159 and 149 is 23691.
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 149?
First, calculate the GCD of 159 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 149 = 1 remainder 10 |
| 2 | 149 ÷ 10 = 14 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 140 | 840 |
| 182 and 167 | 30394 |
| 128 and 174 | 11136 |
| 136 and 173 | 23528 |
| 67 and 163 | 10921 |