Least Common Multiple (LCM) of 93 and 151
The least common multiple (LCM) of 93 and 151 is 14043.
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 151?
First, calculate the GCD of 93 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 151 = 0 remainder 93 |
| 2 | 151 ÷ 93 = 1 remainder 58 |
| 3 | 93 ÷ 58 = 1 remainder 35 |
| 4 | 58 ÷ 35 = 1 remainder 23 |
| 5 | 35 ÷ 23 = 1 remainder 12 |
| 6 | 23 ÷ 12 = 1 remainder 11 |
| 7 | 12 ÷ 11 = 1 remainder 1 |
| 8 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 195 | 2730 |
| 171 and 95 | 855 |
| 146 and 114 | 8322 |
| 200 and 110 | 2200 |
| 70 and 37 | 2590 |