Least Common Multiple (LCM) of 172 and 76
The least common multiple (LCM) of 172 and 76 is 3268.
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 172 and 76?
First, calculate the GCD of 172 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 76 = 2 remainder 20 |
| 2 | 76 ÷ 20 = 3 remainder 16 |
| 3 | 20 ÷ 16 = 1 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 69 | 7590 |
| 16 and 145 | 2320 |
| 133 and 73 | 9709 |
| 98 and 90 | 4410 |
| 119 and 112 | 1904 |