
Least Common Multiple (LCM) of 114 and 145
The least common multiple (LCM) of 114 and 145 is 16530.
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 114 and 145?
First, calculate the GCD of 114 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 114 ÷ 145 = 0 remainder 114 |
2 | 145 ÷ 114 = 1 remainder 31 |
3 | 114 ÷ 31 = 3 remainder 21 |
4 | 31 ÷ 21 = 1 remainder 10 |
5 | 21 ÷ 10 = 2 remainder 1 |
6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
179 and 126 | 22554 |
88 and 120 | 1320 |
136 and 186 | 12648 |
68 and 68 | 68 |
26 and 54 | 702 |