Least Common Multiple (LCM) of 164 and 60
The least common multiple (LCM) of 164 and 60 is 2460.
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 164 and 60?
First, calculate the GCD of 164 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 60 = 2 remainder 44 |
| 2 | 60 ÷ 44 = 1 remainder 16 |
| 3 | 44 ÷ 16 = 2 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 130 | 4680 |
| 196 and 105 | 2940 |
| 61 and 113 | 6893 |
| 35 and 109 | 3815 |
| 144 and 178 | 12816 |