Least Common Multiple (LCM) of 153 and 69
The least common multiple (LCM) of 153 and 69 is 3519.
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 69?
First, calculate the GCD of 153 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 69 = 2 remainder 15 |
| 2 | 69 ÷ 15 = 4 remainder 9 |
| 3 | 15 ÷ 9 = 1 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 116 | 12412 |
| 104 and 53 | 5512 |
| 69 and 35 | 2415 |
| 134 and 96 | 6432 |
| 110 and 95 | 2090 |