Least Common Multiple (LCM) of 153 and 61
The least common multiple (LCM) of 153 and 61 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 153 and 61?
First, calculate the GCD of 153 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 61 = 2 remainder 31 |
| 2 | 61 ÷ 31 = 1 remainder 30 |
| 3 | 31 ÷ 30 = 1 remainder 1 |
| 4 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 128 | 2176 |
| 172 and 122 | 10492 |
| 55 and 84 | 4620 |
| 121 and 163 | 19723 |
| 87 and 81 | 2349 |