Least Common Multiple (LCM) of 67 and 11
The least common multiple (LCM) of 67 and 11 is 737.
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 67 and 11?
First, calculate the GCD of 67 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 67 ÷ 11 = 6 remainder 1 |
| 2 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 133 | 4921 |
| 32 and 157 | 5024 |
| 31 and 155 | 155 |
| 115 and 101 | 11615 |
| 110 and 119 | 13090 |