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 |
|---|---|
| 102 and 147 | 4998 |
| 168 and 155 | 26040 |
| 200 and 125 | 1000 |
| 106 and 129 | 13674 |
| 60 and 18 | 180 |