Least Common Multiple (LCM) of 152 and 196
The least common multiple (LCM) of 152 and 196 is 7448.
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 196?
First, calculate the GCD of 152 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 196 = 0 remainder 152 |
| 2 | 196 ÷ 152 = 1 remainder 44 |
| 3 | 152 ÷ 44 = 3 remainder 20 |
| 4 | 44 ÷ 20 = 2 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 137 | 23975 |
| 54 and 148 | 3996 |
| 57 and 30 | 570 |
| 186 and 180 | 5580 |
| 164 and 11 | 1804 |