Least Common Multiple (LCM) of 149 and 156
The least common multiple (LCM) of 149 and 156 is 23244.
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 149 and 156?
First, calculate the GCD of 149 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 156 = 0 remainder 149 |
| 2 | 156 ÷ 149 = 1 remainder 7 |
| 3 | 149 ÷ 7 = 21 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 135 | 4320 |
| 125 and 193 | 24125 |
| 77 and 11 | 77 |
| 178 and 177 | 31506 |
| 134 and 47 | 6298 |