Least Common Multiple (LCM) of 154 and 175
The least common multiple (LCM) of 154 and 175 is 3850.
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 154 and 175?
First, calculate the GCD of 154 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 175 = 0 remainder 154 |
| 2 | 175 ÷ 154 = 1 remainder 21 |
| 3 | 154 ÷ 21 = 7 remainder 7 |
| 4 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 88 | 2552 |
| 199 and 23 | 4577 |
| 160 and 101 | 16160 |
| 172 and 98 | 8428 |
| 32 and 72 | 288 |