Least Common Multiple (LCM) of 152 and 63
The least common multiple (LCM) of 152 and 63 is 9576.
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 63?
First, calculate the GCD of 152 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 63 = 2 remainder 26 |
| 2 | 63 ÷ 26 = 2 remainder 11 |
| 3 | 26 ÷ 11 = 2 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 134 | 7772 |
| 97 and 117 | 11349 |
| 98 and 173 | 16954 |
| 108 and 57 | 2052 |
| 136 and 51 | 408 |