Least Common Multiple (LCM) of 106 and 91
The least common multiple (LCM) of 106 and 91 is 9646.
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 106 and 91?
First, calculate the GCD of 106 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 91 = 1 remainder 15 |
| 2 | 91 ÷ 15 = 6 remainder 1 |
| 3 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 104 | 1976 |
| 126 and 61 | 7686 |
| 151 and 175 | 26425 |
| 163 and 167 | 27221 |
| 118 and 102 | 6018 |