Least Common Multiple (LCM) of 152 and 121
The least common multiple (LCM) of 152 and 121 is 18392.
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 121?
First, calculate the GCD of 152 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 121 = 1 remainder 31 |
| 2 | 121 ÷ 31 = 3 remainder 28 |
| 3 | 31 ÷ 28 = 1 remainder 3 |
| 4 | 28 ÷ 3 = 9 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 29 | 3712 |
| 177 and 197 | 34869 |
| 172 and 19 | 3268 |
| 174 and 96 | 2784 |
| 194 and 22 | 2134 |