Least Common Multiple (LCM) of 100 and 95
The least common multiple (LCM) of 100 and 95 is 1900.
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 100 and 95?
First, calculate the GCD of 100 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 95 = 1 remainder 5 |
| 2 | 95 ÷ 5 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 132 | 528 |
| 14 and 153 | 2142 |
| 39 and 175 | 6825 |
| 10 and 100 | 100 |
| 181 and 113 | 20453 |