Least Common Multiple (LCM) of 151 and 169
The least common multiple (LCM) of 151 and 169 is 25519.
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 151 and 169?
First, calculate the GCD of 151 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 169 = 0 remainder 151 |
| 2 | 169 ÷ 151 = 1 remainder 18 |
| 3 | 151 ÷ 18 = 8 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 157 | 25905 |
| 156 and 153 | 7956 |
| 31 and 131 | 4061 |
| 187 and 107 | 20009 |
| 99 and 47 | 4653 |