Least Common Multiple (LCM) of 77 and 72
The least common multiple (LCM) of 77 and 72 is 5544.
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 77 and 72?
First, calculate the GCD of 77 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 72 = 1 remainder 5 |
| 2 | 72 ÷ 5 = 14 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 114 | 114 |
| 131 and 169 | 22139 |
| 128 and 77 | 9856 |
| 121 and 101 | 12221 |
| 102 and 138 | 2346 |