Least Common Multiple (LCM) of 172 and 35
The least common multiple (LCM) of 172 and 35 is 6020.
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 35?
First, calculate the GCD of 172 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 35 = 4 remainder 32 |
| 2 | 35 ÷ 32 = 1 remainder 3 |
| 3 | 32 ÷ 3 = 10 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 174 | 13920 |
| 77 and 83 | 6391 |
| 91 and 157 | 14287 |
| 50 and 57 | 2850 |
| 37 and 136 | 5032 |