
Least Common Multiple (LCM) of 50 and 164
The least common multiple (LCM) of 50 and 164 is 4100.
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 164?
First, calculate the GCD of 50 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 50 ÷ 164 = 0 remainder 50 |
2 | 164 ÷ 50 = 3 remainder 14 |
3 | 50 ÷ 14 = 3 remainder 8 |
4 | 14 ÷ 8 = 1 remainder 6 |
5 | 8 ÷ 6 = 1 remainder 2 |
6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
112 and 79 | 8848 |
131 and 60 | 7860 |
105 and 186 | 6510 |
31 and 174 | 5394 |
177 and 113 | 20001 |