Least Common Multiple (LCM) of 152 and 190
The least common multiple (LCM) of 152 and 190 is 760.
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 190?
First, calculate the GCD of 152 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 190 = 0 remainder 152 |
| 2 | 190 ÷ 152 = 1 remainder 38 |
| 3 | 152 ÷ 38 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 71 | 6035 |
| 153 and 131 | 20043 |
| 170 and 16 | 1360 |
| 37 and 60 | 2220 |
| 81 and 169 | 13689 |