Least Common Multiple (LCM) of 132 and 173
The least common multiple (LCM) of 132 and 173 is 22836.
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 132 and 173?
First, calculate the GCD of 132 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 173 = 0 remainder 132 |
| 2 | 173 ÷ 132 = 1 remainder 41 |
| 3 | 132 ÷ 41 = 3 remainder 9 |
| 4 | 41 ÷ 9 = 4 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 59 | 9558 |
| 114 and 131 | 14934 |
| 103 and 62 | 6386 |
| 190 and 184 | 17480 |
| 124 and 157 | 19468 |