Least Common Multiple (LCM) of 72 and 69
The least common multiple (LCM) of 72 and 69 is 1656.
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 72 and 69?
First, calculate the GCD of 72 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 69 = 1 remainder 3 |
| 2 | 69 ÷ 3 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 145 | 4640 |
| 179 and 189 | 33831 |
| 192 and 69 | 4416 |
| 98 and 83 | 8134 |
| 122 and 51 | 6222 |