Least Common Multiple (LCM) of 132 and 77
The least common multiple (LCM) of 132 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 132 and 77?
First, calculate the GCD of 132 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 77 = 1 remainder 55 |
| 2 | 77 ÷ 55 = 1 remainder 22 |
| 3 | 55 ÷ 22 = 2 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 127 | 18542 |
| 199 and 150 | 29850 |
| 133 and 56 | 1064 |
| 157 and 135 | 21195 |
| 114 and 143 | 16302 |