Least Common Multiple (LCM) of 164 and 149
The least common multiple (LCM) of 164 and 149 is 24436.
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 149?
First, calculate the GCD of 164 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 149 = 1 remainder 15 |
| 2 | 149 ÷ 15 = 9 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 55 | 715 |
| 137 and 111 | 15207 |
| 197 and 166 | 32702 |
| 87 and 102 | 2958 |
| 92 and 172 | 3956 |