Least Common Multiple (LCM) of 152 and 103
The least common multiple (LCM) of 152 and 103 is 15656.
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 103?
First, calculate the GCD of 152 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 103 = 1 remainder 49 |
| 2 | 103 ÷ 49 = 2 remainder 5 |
| 3 | 49 ÷ 5 = 9 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 14 | 504 |
| 184 and 96 | 2208 |
| 41 and 171 | 7011 |
| 200 and 159 | 31800 |
| 64 and 35 | 2240 |