Least Common Multiple (LCM) of 156 and 169
The least common multiple (LCM) of 156 and 169 is 2028.
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 169?
First, calculate the GCD of 156 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 169 = 0 remainder 156 |
| 2 | 169 ÷ 156 = 1 remainder 13 |
| 3 | 156 ÷ 13 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 152 | 2736 |
| 126 and 59 | 7434 |
| 69 and 187 | 12903 |
| 179 and 21 | 3759 |
| 106 and 50 | 2650 |