Least Common Multiple (LCM) of 126 and 152
The least common multiple (LCM) of 126 and 152 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 126 and 152?
First, calculate the GCD of 126 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 152 = 0 remainder 126 |
| 2 | 152 ÷ 126 = 1 remainder 26 |
| 3 | 126 ÷ 26 = 4 remainder 22 |
| 4 | 26 ÷ 22 = 1 remainder 4 |
| 5 | 22 ÷ 4 = 5 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 167 | 21376 |
| 34 and 45 | 1530 |
| 117 and 147 | 5733 |
| 42 and 100 | 2100 |
| 66 and 164 | 5412 |