Least Common Multiple (LCM) of 160 and 136
The least common multiple (LCM) of 160 and 136 is 2720.
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 160 and 136?
First, calculate the GCD of 160 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 136 = 1 remainder 24 |
| 2 | 136 ÷ 24 = 5 remainder 16 |
| 3 | 24 ÷ 16 = 1 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 151 | 23707 |
| 157 and 200 | 31400 |
| 188 and 47 | 188 |
| 82 and 185 | 15170 |
| 54 and 30 | 270 |