
Least Common Multiple (LCM) of 50 and 79
The least common multiple (LCM) of 50 and 79 is 3950.
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 79?
First, calculate the GCD of 50 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 50 ÷ 79 = 0 remainder 50 |
2 | 79 ÷ 50 = 1 remainder 29 |
3 | 50 ÷ 29 = 1 remainder 21 |
4 | 29 ÷ 21 = 1 remainder 8 |
5 | 21 ÷ 8 = 2 remainder 5 |
6 | 8 ÷ 5 = 1 remainder 3 |
7 | 5 ÷ 3 = 1 remainder 2 |
8 | 3 ÷ 2 = 1 remainder 1 |
9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
124 and 50 | 3100 |
78 and 111 | 2886 |
157 and 128 | 20096 |
18 and 70 | 630 |
48 and 128 | 384 |