
Least Common Multiple (LCM) of 77 and 39
The least common multiple (LCM) of 77 and 39 is 3003.
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 39?
First, calculate the GCD of 77 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 77 ÷ 39 = 1 remainder 38 |
2 | 39 ÷ 38 = 1 remainder 1 |
3 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
135 and 138 | 6210 |
136 and 168 | 2856 |
189 and 150 | 9450 |
126 and 17 | 2142 |
116 and 17 | 1972 |