Least Common Multiple (LCM) of 153 and 77
The least common multiple (LCM) of 153 and 77 is 11781.
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 153 and 77?
First, calculate the GCD of 153 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 77 = 1 remainder 76 |
| 2 | 77 ÷ 76 = 1 remainder 1 |
| 3 | 76 ÷ 1 = 76 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 39 | 4758 |
| 66 and 51 | 1122 |
| 158 and 108 | 8532 |
| 110 and 34 | 1870 |
| 150 and 35 | 1050 |