
Least Common Multiple (LCM) of 24 and 88
The least common multiple (LCM) of 24 and 88 is 264.
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 24 and 88?
First, calculate the GCD of 24 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 24 ÷ 88 = 0 remainder 24 |
2 | 88 ÷ 24 = 3 remainder 16 |
3 | 24 ÷ 16 = 1 remainder 8 |
4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
127 and 10 | 1270 |
62 and 138 | 4278 |
176 and 13 | 2288 |
153 and 143 | 21879 |
111 and 80 | 8880 |