Least Common Multiple (LCM) of 175 and 70
The least common multiple (LCM) of 175 and 70 is 350.
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 175 and 70?
First, calculate the GCD of 175 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 70 = 2 remainder 35 |
| 2 | 70 ÷ 35 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 50 | 1150 |
| 174 and 140 | 12180 |
| 43 and 136 | 5848 |
| 114 and 151 | 17214 |
| 51 and 143 | 7293 |