Least Common Multiple (LCM) of 160 and 148
The least common multiple (LCM) of 160 and 148 is 5920.
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 148?
First, calculate the GCD of 160 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 148 = 1 remainder 12 |
| 2 | 148 ÷ 12 = 12 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 21 | 2877 |
| 103 and 117 | 12051 |
| 109 and 57 | 6213 |
| 30 and 39 | 390 |
| 141 and 23 | 3243 |