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 |
|---|---|
| 120 and 38 | 2280 |
| 187 and 195 | 36465 |
| 172 and 137 | 23564 |
| 127 and 150 | 19050 |
| 191 and 113 | 21583 |