Least Common Multiple (LCM) of 27 and 152
The least common multiple (LCM) of 27 and 152 is 4104.
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 27 and 152?
First, calculate the GCD of 27 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 152 = 0 remainder 27 |
| 2 | 152 ÷ 27 = 5 remainder 17 |
| 3 | 27 ÷ 17 = 1 remainder 10 |
| 4 | 17 ÷ 10 = 1 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 50 | 7350 |
| 48 and 50 | 1200 |
| 159 and 113 | 17967 |
| 105 and 119 | 1785 |
| 126 and 151 | 19026 |