Least Common Multiple (LCM) of 190 and 35
The least common multiple (LCM) of 190 and 35 is 1330.
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 190 and 35?
First, calculate the GCD of 190 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 35 = 5 remainder 15 |
| 2 | 35 ÷ 15 = 2 remainder 5 |
| 3 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 51 | 6171 |
| 153 and 150 | 7650 |
| 70 and 152 | 5320 |
| 167 and 60 | 10020 |
| 87 and 129 | 3741 |