Least Common Multiple (LCM) of 72 and 35
The least common multiple (LCM) of 72 and 35 is 2520.
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 35?
First, calculate the GCD of 72 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 35 = 2 remainder 2 |
| 2 | 35 ÷ 2 = 17 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 150 | 6150 |
| 171 and 65 | 11115 |
| 118 and 96 | 5664 |
| 37 and 192 | 7104 |
| 39 and 124 | 4836 |