
Least Common Multiple (LCM) of 104 and 76
The least common multiple (LCM) of 104 and 76 is 1976.
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 104 and 76?
First, calculate the GCD of 104 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 104 ÷ 76 = 1 remainder 28 |
2 | 76 ÷ 28 = 2 remainder 20 |
3 | 28 ÷ 20 = 1 remainder 8 |
4 | 20 ÷ 8 = 2 remainder 4 |
5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
200 and 124 | 6200 |
113 and 183 | 20679 |
136 and 115 | 15640 |
23 and 88 | 2024 |
81 and 48 | 1296 |