Least Common Multiple (LCM) of 153 and 134
The least common multiple (LCM) of 153 and 134 is 20502.
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 153 and 134?
First, calculate the GCD of 153 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 134 = 1 remainder 19 |
| 2 | 134 ÷ 19 = 7 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 51 | 7854 |
| 105 and 105 | 105 |
| 137 and 158 | 21646 |
| 178 and 76 | 6764 |
| 38 and 37 | 1406 |