Least Common Multiple (LCM) of 121 and 93
The least common multiple (LCM) of 121 and 93 is 11253.
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 121 and 93?
First, calculate the GCD of 121 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 93 = 1 remainder 28 |
| 2 | 93 ÷ 28 = 3 remainder 9 |
| 3 | 28 ÷ 9 = 3 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 120 | 3720 |
| 145 and 142 | 20590 |
| 99 and 45 | 495 |
| 95 and 157 | 14915 |
| 157 and 38 | 5966 |