
Least Common Multiple (LCM) of 179 and 99
The least common multiple (LCM) of 179 and 99 is 17721.
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 179 and 99?
First, calculate the GCD of 179 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 179 ÷ 99 = 1 remainder 80 |
2 | 99 ÷ 80 = 1 remainder 19 |
3 | 80 ÷ 19 = 4 remainder 4 |
4 | 19 ÷ 4 = 4 remainder 3 |
5 | 4 ÷ 3 = 1 remainder 1 |
6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
109 and 46 | 5014 |
29 and 15 | 435 |
44 and 158 | 3476 |
53 and 123 | 6519 |
159 and 64 | 10176 |