Least Common Multiple (LCM) of 36 and 149
The least common multiple (LCM) of 36 and 149 is 5364.
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 36 and 149?
First, calculate the GCD of 36 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 149 = 0 remainder 36 |
| 2 | 149 ÷ 36 = 4 remainder 5 |
| 3 | 36 ÷ 5 = 7 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 177 | 12390 |
| 162 and 172 | 13932 |
| 199 and 144 | 28656 |
| 111 and 121 | 13431 |
| 91 and 106 | 9646 |