Least Common Multiple (LCM) of 188 and 64
The least common multiple (LCM) of 188 and 64 is 3008.
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 188 and 64?
First, calculate the GCD of 188 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 64 = 2 remainder 60 |
| 2 | 64 ÷ 60 = 1 remainder 4 |
| 3 | 60 ÷ 4 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 103 | 13390 |
| 154 and 155 | 23870 |
| 160 and 160 | 160 |
| 198 and 121 | 2178 |
| 131 and 115 | 15065 |