Least Common Multiple (LCM) of 88 and 167
The least common multiple (LCM) of 88 and 167 is 14696.
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 88 and 167?
First, calculate the GCD of 88 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 167 = 0 remainder 88 |
| 2 | 167 ÷ 88 = 1 remainder 79 |
| 3 | 88 ÷ 79 = 1 remainder 9 |
| 4 | 79 ÷ 9 = 8 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 43 | 1548 |
| 115 and 51 | 5865 |
| 31 and 190 | 5890 |
| 164 and 102 | 8364 |
| 109 and 119 | 12971 |