Least Common Multiple (LCM) of 84 and 77
The least common multiple (LCM) of 84 and 77 is 924.
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 84 and 77?
First, calculate the GCD of 84 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 77 = 1 remainder 7 |
| 2 | 77 ÷ 7 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 164 | 12628 |
| 180 and 26 | 2340 |
| 63 and 195 | 4095 |
| 41 and 154 | 6314 |
| 117 and 126 | 1638 |