Least Common Multiple (LCM) of 77 and 152
The least common multiple (LCM) of 77 and 152 is 11704.
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 152?
First, calculate the GCD of 77 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 152 = 0 remainder 77 |
| 2 | 152 ÷ 77 = 1 remainder 75 |
| 3 | 77 ÷ 75 = 1 remainder 2 |
| 4 | 75 ÷ 2 = 37 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 43 | 8428 |
| 171 and 148 | 25308 |
| 83 and 143 | 11869 |
| 22 and 173 | 3806 |
| 13 and 173 | 2249 |