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 |
|---|---|
| 119 and 152 | 18088 |
| 102 and 186 | 3162 |
| 161 and 168 | 3864 |
| 144 and 14 | 1008 |
| 31 and 130 | 4030 |