Least Common Multiple (LCM) of 152 and 154
The least common multiple (LCM) of 152 and 154 is 11704.
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 152 and 154?
First, calculate the GCD of 152 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 154 = 0 remainder 152 |
| 2 | 154 ÷ 152 = 1 remainder 2 |
| 3 | 152 ÷ 2 = 76 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 53 | 8692 |
| 24 and 159 | 1272 |
| 13 and 12 | 156 |
| 193 and 57 | 11001 |
| 119 and 115 | 13685 |