Least Common Multiple (LCM) of 169 and 51
The least common multiple (LCM) of 169 and 51 is 8619.
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 169 and 51?
First, calculate the GCD of 169 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 51 = 3 remainder 16 |
| 2 | 51 ÷ 16 = 3 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 36 | 5652 |
| 182 and 25 | 4550 |
| 31 and 112 | 3472 |
| 103 and 106 | 10918 |
| 86 and 113 | 9718 |