Least Common Multiple (LCM) of 151 and 46
The least common multiple (LCM) of 151 and 46 is 6946.
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 46?
First, calculate the GCD of 151 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 46 = 3 remainder 13 |
| 2 | 46 ÷ 13 = 3 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 94 | 7990 |
| 33 and 130 | 4290 |
| 146 and 177 | 25842 |
| 141 and 101 | 14241 |
| 137 and 195 | 26715 |