Least Common Multiple (LCM) of 101 and 102
The least common multiple (LCM) of 101 and 102 is 10302.
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 102?
First, calculate the GCD of 101 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 102 = 0 remainder 101 |
| 2 | 102 ÷ 101 = 1 remainder 1 |
| 3 | 101 ÷ 1 = 101 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 109 | 7521 |
| 102 and 137 | 13974 |
| 43 and 65 | 2795 |
| 32 and 155 | 4960 |
| 147 and 132 | 6468 |