Least Common Multiple (LCM) of 112 and 101
The least common multiple (LCM) of 112 and 101 is 11312.
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 112 and 101?
First, calculate the GCD of 112 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 101 = 1 remainder 11 |
| 2 | 101 ÷ 11 = 9 remainder 2 |
| 3 | 11 ÷ 2 = 5 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 46 | 4462 |
| 78 and 182 | 546 |
| 98 and 176 | 8624 |
| 150 and 79 | 11850 |
| 140 and 179 | 25060 |