Least Common Multiple (LCM) of 151 and 107
The least common multiple (LCM) of 151 and 107 is 16157.
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 151 and 107?
First, calculate the GCD of 151 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 107 = 1 remainder 44 |
| 2 | 107 ÷ 44 = 2 remainder 19 |
| 3 | 44 ÷ 19 = 2 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 23 | 2783 |
| 22 and 175 | 3850 |
| 72 and 160 | 1440 |
| 168 and 128 | 2688 |
| 95 and 62 | 5890 |