Least Common Multiple (LCM) of 152 and 88
The least common multiple (LCM) of 152 and 88 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 152 and 88?
First, calculate the GCD of 152 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 88 = 1 remainder 64 |
| 2 | 88 ÷ 64 = 1 remainder 24 |
| 3 | 64 ÷ 24 = 2 remainder 16 |
| 4 | 24 ÷ 16 = 1 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 55 | 5390 |
| 30 and 24 | 120 |
| 178 and 70 | 6230 |
| 116 and 133 | 15428 |
| 126 and 64 | 4032 |