Least Common Multiple (LCM) of 88 and 152
The least common multiple (LCM) of 88 and 152 is 1672.
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 88 and 152?
First, calculate the GCD of 88 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 152 = 0 remainder 88 |
| 2 | 152 ÷ 88 = 1 remainder 64 |
| 3 | 88 ÷ 64 = 1 remainder 24 |
| 4 | 64 ÷ 24 = 2 remainder 16 |
| 5 | 24 ÷ 16 = 1 remainder 8 |
| 6 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 96 | 2016 |
| 69 and 125 | 8625 |
| 117 and 91 | 819 |
| 160 and 51 | 8160 |
| 180 and 194 | 17460 |