Least Common Multiple (LCM) of 23 and 137
The least common multiple (LCM) of 23 and 137 is 3151.
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 137?
First, calculate the GCD of 23 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 137 = 0 remainder 23 |
| 2 | 137 ÷ 23 = 5 remainder 22 |
| 3 | 23 ÷ 22 = 1 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 124 | 18972 |
| 156 and 89 | 13884 |
| 196 and 105 | 2940 |
| 31 and 178 | 5518 |
| 133 and 195 | 25935 |