Least Common Multiple (LCM) of 101 and 76
The least common multiple (LCM) of 101 and 76 is 7676.
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 101 and 76?
First, calculate the GCD of 101 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 76 = 1 remainder 25 |
| 2 | 76 ÷ 25 = 3 remainder 1 |
| 3 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 160 | 25120 |
| 168 and 54 | 1512 |
| 153 and 140 | 21420 |
| 75 and 199 | 14925 |
| 149 and 38 | 5662 |