Least Common Multiple (LCM) of 151 and 176
The least common multiple (LCM) of 151 and 176 is 26576.
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 176?
First, calculate the GCD of 151 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 176 = 0 remainder 151 |
| 2 | 176 ÷ 151 = 1 remainder 25 |
| 3 | 151 ÷ 25 = 6 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 183 | 21594 |
| 90 and 196 | 8820 |
| 129 and 75 | 3225 |
| 98 and 143 | 14014 |
| 120 and 120 | 120 |