Least Common Multiple (LCM) of 152 and 171
The least common multiple (LCM) of 152 and 171 is 1368.
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 152 and 171?
First, calculate the GCD of 152 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 171 = 0 remainder 152 |
| 2 | 171 ÷ 152 = 1 remainder 19 |
| 3 | 152 ÷ 19 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 136 | 6392 |
| 88 and 174 | 7656 |
| 105 and 11 | 1155 |
| 195 and 161 | 31395 |
| 125 and 132 | 16500 |