Least Common Multiple (LCM) of 23 and 151
The least common multiple (LCM) of 23 and 151 is 3473.
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 23 and 151?
First, calculate the GCD of 23 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 151 = 0 remainder 23 |
| 2 | 151 ÷ 23 = 6 remainder 13 |
| 3 | 23 ÷ 13 = 1 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 119 | 12257 |
| 158 and 91 | 14378 |
| 13 and 124 | 1612 |
| 127 and 136 | 17272 |
| 76 and 58 | 2204 |