Least Common Multiple (LCM) of 159 and 151
The least common multiple (LCM) of 159 and 151 is 24009.
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 151?
First, calculate the GCD of 159 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 151 = 1 remainder 8 |
| 2 | 151 ÷ 8 = 18 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 196 | 784 |
| 155 and 128 | 19840 |
| 69 and 123 | 2829 |
| 129 and 176 | 22704 |
| 19 and 144 | 2736 |