Least Common Multiple (LCM) of 164 and 88
The least common multiple (LCM) of 164 and 88 is 3608.
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 88?
First, calculate the GCD of 164 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 88 = 1 remainder 76 |
| 2 | 88 ÷ 76 = 1 remainder 12 |
| 3 | 76 ÷ 12 = 6 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 180 | 3060 |
| 124 and 11 | 1364 |
| 153 and 118 | 18054 |
| 135 and 140 | 3780 |
| 110 and 140 | 1540 |