Least Common Multiple (LCM) of 167 and 88
The least common multiple (LCM) of 167 and 88 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 167 and 88?
First, calculate the GCD of 167 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 88 = 1 remainder 79 |
| 2 | 88 ÷ 79 = 1 remainder 9 |
| 3 | 79 ÷ 9 = 8 remainder 7 |
| 4 | 9 ÷ 7 = 1 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 117 | 12402 |
| 37 and 38 | 1406 |
| 104 and 128 | 1664 |
| 132 and 133 | 17556 |
| 160 and 172 | 6880 |