Least Common Multiple (LCM) of 92 and 152
The least common multiple (LCM) of 92 and 152 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 92 and 152?
First, calculate the GCD of 92 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 152 = 0 remainder 92 |
| 2 | 152 ÷ 92 = 1 remainder 60 |
| 3 | 92 ÷ 60 = 1 remainder 32 |
| 4 | 60 ÷ 32 = 1 remainder 28 |
| 5 | 32 ÷ 28 = 1 remainder 4 |
| 6 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 175 | 3850 |
| 102 and 170 | 510 |
| 31 and 187 | 5797 |
| 53 and 35 | 1855 |
| 58 and 116 | 116 |