Least Common Multiple (LCM) of 36 and 153
The least common multiple (LCM) of 36 and 153 is 612.
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 153?
First, calculate the GCD of 36 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 153 = 0 remainder 36 |
| 2 | 153 ÷ 36 = 4 remainder 9 |
| 3 | 36 ÷ 9 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 135 | 21330 |
| 60 and 107 | 6420 |
| 45 and 200 | 1800 |
| 75 and 29 | 2175 |
| 125 and 175 | 875 |