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 |
|---|---|
| 93 and 186 | 186 |
| 77 and 14 | 154 |
| 17 and 14 | 238 |
| 108 and 189 | 756 |
| 124 and 38 | 2356 |