Least Common Multiple (LCM) of 71 and 151
The least common multiple (LCM) of 71 and 151 is 10721.
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 71 and 151?
First, calculate the GCD of 71 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 151 = 0 remainder 71 |
| 2 | 151 ÷ 71 = 2 remainder 9 |
| 3 | 71 ÷ 9 = 7 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 135 | 17685 |
| 130 and 75 | 1950 |
| 129 and 93 | 3999 |
| 48 and 68 | 816 |
| 152 and 157 | 23864 |