Least Common Multiple (LCM) of 52 and 154
The least common multiple (LCM) of 52 and 154 is 4004.
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 52 and 154?
First, calculate the GCD of 52 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 154 = 0 remainder 52 |
| 2 | 154 ÷ 52 = 2 remainder 50 |
| 3 | 52 ÷ 50 = 1 remainder 2 |
| 4 | 50 ÷ 2 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 127 | 17399 |
| 16 and 96 | 96 |
| 198 and 36 | 396 |
| 59 and 119 | 7021 |
| 200 and 61 | 12200 |