Least Common Multiple (LCM) of 152 and 92
The least common multiple (LCM) of 152 and 92 is 3496.
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 92?
First, calculate the GCD of 152 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 92 = 1 remainder 60 |
| 2 | 92 ÷ 60 = 1 remainder 32 |
| 3 | 60 ÷ 32 = 1 remainder 28 |
| 4 | 32 ÷ 28 = 1 remainder 4 |
| 5 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 43 | 3655 |
| 187 and 194 | 36278 |
| 186 and 115 | 21390 |
| 44 and 34 | 748 |
| 192 and 192 | 192 |