
Least Common Multiple (LCM) of 155 and 43
The least common multiple (LCM) of 155 and 43 is 6665.
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 155 and 43?
First, calculate the GCD of 155 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 155 ÷ 43 = 3 remainder 26 |
2 | 43 ÷ 26 = 1 remainder 17 |
3 | 26 ÷ 17 = 1 remainder 9 |
4 | 17 ÷ 9 = 1 remainder 8 |
5 | 9 ÷ 8 = 1 remainder 1 |
6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
130 and 173 | 22490 |
196 and 83 | 16268 |
107 and 160 | 17120 |
15 and 10 | 30 |
18 and 109 | 1962 |