Least Common Multiple (LCM) of 56 and 169
The least common multiple (LCM) of 56 and 169 is 9464.
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 56 and 169?
First, calculate the GCD of 56 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 169 = 0 remainder 56 |
| 2 | 169 ÷ 56 = 3 remainder 1 |
| 3 | 56 ÷ 1 = 56 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 48 | 5520 |
| 42 and 114 | 798 |
| 143 and 112 | 16016 |
| 122 and 49 | 5978 |
| 177 and 109 | 19293 |