
Least Common Multiple (LCM) of 50 and 131
The least common multiple (LCM) of 50 and 131 is 6550.
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 50 and 131?
First, calculate the GCD of 50 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 50 ÷ 131 = 0 remainder 50 |
2 | 131 ÷ 50 = 2 remainder 31 |
3 | 50 ÷ 31 = 1 remainder 19 |
4 | 31 ÷ 19 = 1 remainder 12 |
5 | 19 ÷ 12 = 1 remainder 7 |
6 | 12 ÷ 7 = 1 remainder 5 |
7 | 7 ÷ 5 = 1 remainder 2 |
8 | 5 ÷ 2 = 2 remainder 1 |
9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
113 and 184 | 20792 |
60 and 91 | 5460 |
125 and 187 | 23375 |
66 and 134 | 4422 |
136 and 136 | 136 |