Least Common Multiple (LCM) of 167 and 94
The least common multiple (LCM) of 167 and 94 is 15698.
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 167 and 94?
First, calculate the GCD of 167 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 94 = 1 remainder 73 |
| 2 | 94 ÷ 73 = 1 remainder 21 |
| 3 | 73 ÷ 21 = 3 remainder 10 |
| 4 | 21 ÷ 10 = 2 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 115 | 12765 |
| 40 and 105 | 840 |
| 123 and 179 | 22017 |
| 79 and 81 | 6399 |
| 13 and 24 | 312 |