Least Common Multiple (LCM) of 61 and 72
The least common multiple (LCM) of 61 and 72 is 4392.
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 72?
First, calculate the GCD of 61 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 72 = 0 remainder 61 |
| 2 | 72 ÷ 61 = 1 remainder 11 |
| 3 | 61 ÷ 11 = 5 remainder 6 |
| 4 | 11 ÷ 6 = 1 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 132 | 5412 |
| 149 and 37 | 5513 |
| 198 and 46 | 4554 |
| 81 and 114 | 3078 |
| 35 and 64 | 2240 |