
Least Common Multiple (LCM) of 72 and 128
The least common multiple (LCM) of 72 and 128 is 1152.
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 72 and 128?
First, calculate the GCD of 72 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 72 ÷ 128 = 0 remainder 72 |
2 | 128 ÷ 72 = 1 remainder 56 |
3 | 72 ÷ 56 = 1 remainder 16 |
4 | 56 ÷ 16 = 3 remainder 8 |
5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
161 and 96 | 15456 |
147 and 36 | 1764 |
147 and 12 | 588 |
128 and 53 | 6784 |
186 and 111 | 6882 |