Least Common Multiple (LCM) of 152 and 160
The least common multiple (LCM) of 152 and 160 is 3040.
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 160?
First, calculate the GCD of 152 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 160 = 0 remainder 152 |
| 2 | 160 ÷ 152 = 1 remainder 8 |
| 3 | 152 ÷ 8 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 98 | 6468 |
| 45 and 164 | 7380 |
| 141 and 88 | 12408 |
| 188 and 173 | 32524 |
| 48 and 151 | 7248 |