Least Common Multiple (LCM) of 101 and 150
The least common multiple (LCM) of 101 and 150 is 15150.
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 150?
First, calculate the GCD of 101 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 150 = 0 remainder 101 |
| 2 | 150 ÷ 101 = 1 remainder 49 |
| 3 | 101 ÷ 49 = 2 remainder 3 |
| 4 | 49 ÷ 3 = 16 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 74 | 7918 |
| 167 and 73 | 12191 |
| 164 and 153 | 25092 |
| 18 and 53 | 954 |
| 166 and 169 | 28054 |