Least Common Multiple (LCM) of 169 and 78
The least common multiple (LCM) of 169 and 78 is 1014.
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 78?
First, calculate the GCD of 169 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 78 = 2 remainder 13 |
| 2 | 78 ÷ 13 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 170 | 26690 |
| 125 and 69 | 8625 |
| 98 and 135 | 13230 |
| 180 and 133 | 23940 |
| 44 and 180 | 1980 |