Least Common Multiple (LCM) of 93 and 167
The least common multiple (LCM) of 93 and 167 is 15531.
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 93 and 167?
First, calculate the GCD of 93 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 167 = 0 remainder 93 |
| 2 | 167 ÷ 93 = 1 remainder 74 |
| 3 | 93 ÷ 74 = 1 remainder 19 |
| 4 | 74 ÷ 19 = 3 remainder 17 |
| 5 | 19 ÷ 17 = 1 remainder 2 |
| 6 | 17 ÷ 2 = 8 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 113 | 16950 |
| 67 and 151 | 10117 |
| 137 and 49 | 6713 |
| 108 and 61 | 6588 |
| 136 and 40 | 680 |