Least Common Multiple (LCM) of 151 and 164
The least common multiple (LCM) of 151 and 164 is 24764.
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 164?
First, calculate the GCD of 151 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 164 = 0 remainder 151 |
| 2 | 164 ÷ 151 = 1 remainder 13 |
| 3 | 151 ÷ 13 = 11 remainder 8 |
| 4 | 13 ÷ 8 = 1 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 180 | 1260 |
| 72 and 70 | 2520 |
| 54 and 84 | 756 |
| 143 and 88 | 1144 |
| 126 and 67 | 8442 |