Least Common Multiple (LCM) of 101 and 151
The least common multiple (LCM) of 101 and 151 is 15251.
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 151?
First, calculate the GCD of 101 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 151 = 0 remainder 101 |
| 2 | 151 ÷ 101 = 1 remainder 50 |
| 3 | 101 ÷ 50 = 2 remainder 1 |
| 4 | 50 ÷ 1 = 50 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 30 | 510 |
| 48 and 116 | 1392 |
| 155 and 129 | 19995 |
| 74 and 56 | 2072 |
| 81 and 75 | 2025 |