
Least Common Multiple (LCM) of 24 and 124
The least common multiple (LCM) of 24 and 124 is 744.
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 124?
First, calculate the GCD of 24 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 24 ÷ 124 = 0 remainder 24 |
2 | 124 ÷ 24 = 5 remainder 4 |
3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
30 and 159 | 1590 |
64 and 18 | 576 |
20 and 43 | 860 |
194 and 200 | 19400 |
190 and 163 | 30970 |