Least Common Multiple (LCM) of 164 and 157
The least common multiple (LCM) of 164 and 157 is 25748.
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 157?
First, calculate the GCD of 164 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 157 = 1 remainder 7 |
| 2 | 157 ÷ 7 = 22 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 72 | 216 |
| 79 and 132 | 10428 |
| 43 and 14 | 602 |
| 74 and 56 | 2072 |
| 167 and 174 | 29058 |