Least Common Multiple (LCM) of 94 and 169
The least common multiple (LCM) of 94 and 169 is 15886.
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 94 and 169?
First, calculate the GCD of 94 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 169 = 0 remainder 94 |
| 2 | 169 ÷ 94 = 1 remainder 75 |
| 3 | 94 ÷ 75 = 1 remainder 19 |
| 4 | 75 ÷ 19 = 3 remainder 18 |
| 5 | 19 ÷ 18 = 1 remainder 1 |
| 6 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 120 | 3720 |
| 109 and 120 | 13080 |
| 71 and 154 | 10934 |
| 145 and 99 | 14355 |
| 153 and 83 | 12699 |