Least Common Multiple (LCM) of 61 and 153
The least common multiple (LCM) of 61 and 153 is 9333.
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 61 and 153?
First, calculate the GCD of 61 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 153 = 0 remainder 61 |
| 2 | 153 ÷ 61 = 2 remainder 31 |
| 3 | 61 ÷ 31 = 1 remainder 30 |
| 4 | 31 ÷ 30 = 1 remainder 1 |
| 5 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 164 | 5740 |
| 66 and 200 | 6600 |
| 109 and 193 | 21037 |
| 21 and 105 | 105 |
| 100 and 184 | 4600 |