Least Common Multiple (LCM) of 31 and 151
The least common multiple (LCM) of 31 and 151 is 4681.
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 31 and 151?
First, calculate the GCD of 31 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 31 ÷ 151 = 0 remainder 31 |
| 2 | 151 ÷ 31 = 4 remainder 27 |
| 3 | 31 ÷ 27 = 1 remainder 4 |
| 4 | 27 ÷ 4 = 6 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 167 | 30561 |
| 53 and 112 | 5936 |
| 95 and 71 | 6745 |
| 91 and 93 | 8463 |
| 174 and 25 | 4350 |