Least Common Multiple (LCM) of 88 and 67
The least common multiple (LCM) of 88 and 67 is 5896.
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 67?
First, calculate the GCD of 88 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 67 = 1 remainder 21 |
| 2 | 67 ÷ 21 = 3 remainder 4 |
| 3 | 21 ÷ 4 = 5 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 110 | 8580 |
| 169 and 157 | 26533 |
| 79 and 35 | 2765 |
| 134 and 88 | 5896 |
| 110 and 135 | 2970 |