Least Common Multiple (LCM) of 175 and 21
The least common multiple (LCM) of 175 and 21 is 525.
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 21?
First, calculate the GCD of 175 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 21 = 8 remainder 7 |
| 2 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 69 | 897 |
| 40 and 13 | 520 |
| 69 and 116 | 8004 |
| 114 and 33 | 1254 |
| 62 and 130 | 4030 |