Least Common Multiple (LCM) of 93 and 156
The least common multiple (LCM) of 93 and 156 is 4836.
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 93 and 156?
First, calculate the GCD of 93 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 156 = 0 remainder 93 |
| 2 | 156 ÷ 93 = 1 remainder 63 |
| 3 | 93 ÷ 63 = 1 remainder 30 |
| 4 | 63 ÷ 30 = 2 remainder 3 |
| 5 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 77 | 11088 |
| 140 and 97 | 13580 |
| 125 and 28 | 3500 |
| 17 and 129 | 2193 |
| 83 and 128 | 10624 |