Least Common Multiple (LCM) of 111 and 152
The least common multiple (LCM) of 111 and 152 is 16872.
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 111 and 152?
First, calculate the GCD of 111 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 152 = 0 remainder 111 |
| 2 | 152 ÷ 111 = 1 remainder 41 |
| 3 | 111 ÷ 41 = 2 remainder 29 |
| 4 | 41 ÷ 29 = 1 remainder 12 |
| 5 | 29 ÷ 12 = 2 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 160 | 2720 |
| 102 and 68 | 204 |
| 138 and 75 | 3450 |
| 100 and 24 | 600 |
| 164 and 75 | 12300 |