Least Common Multiple (LCM) of 151 and 172
The least common multiple (LCM) of 151 and 172 is 25972.
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 172?
First, calculate the GCD of 151 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 172 = 0 remainder 151 |
| 2 | 172 ÷ 151 = 1 remainder 21 |
| 3 | 151 ÷ 21 = 7 remainder 4 |
| 4 | 21 ÷ 4 = 5 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 114 | 9006 |
| 175 and 170 | 5950 |
| 154 and 113 | 17402 |
| 114 and 121 | 13794 |
| 96 and 32 | 96 |