Least Common Multiple (LCM) of 156 and 126
The least common multiple (LCM) of 156 and 126 is 3276.
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 156 and 126?
First, calculate the GCD of 156 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 126 = 1 remainder 30 |
| 2 | 126 ÷ 30 = 4 remainder 6 |
| 3 | 30 ÷ 6 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 10 | 1330 |
| 17 and 114 | 1938 |
| 172 and 170 | 14620 |
| 19 and 56 | 1064 |
| 169 and 115 | 19435 |