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 |
|---|---|
| 18 and 170 | 1530 |
| 122 and 192 | 11712 |
| 151 and 124 | 18724 |
| 103 and 114 | 11742 |
| 22 and 199 | 4378 |