Least Common Multiple (LCM) of 100 and 76
The least common multiple (LCM) of 100 and 76 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 76?
First, calculate the GCD of 100 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 76 = 1 remainder 24 |
| 2 | 76 ÷ 24 = 3 remainder 4 |
| 3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 121 | 20933 |
| 180 and 118 | 10620 |
| 123 and 102 | 4182 |
| 134 and 159 | 21306 |
| 27 and 84 | 756 |