Least Common Multiple (LCM) of 137 and 152
The least common multiple (LCM) of 137 and 152 is 20824.
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 137 and 152?
First, calculate the GCD of 137 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 152 = 0 remainder 137 |
| 2 | 152 ÷ 137 = 1 remainder 15 |
| 3 | 137 ÷ 15 = 9 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 193 | 14668 |
| 79 and 135 | 10665 |
| 183 and 108 | 6588 |
| 96 and 197 | 18912 |
| 112 and 56 | 112 |