Least Common Multiple (LCM) of 134 and 153
The least common multiple (LCM) of 134 and 153 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 134 and 153?
First, calculate the GCD of 134 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 153 = 0 remainder 134 |
| 2 | 153 ÷ 134 = 1 remainder 19 |
| 3 | 134 ÷ 19 = 7 remainder 1 |
| 4 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 84 | 8484 |
| 27 and 119 | 3213 |
| 35 and 119 | 595 |
| 153 and 96 | 4896 |
| 192 and 46 | 4416 |