Least Common Multiple (LCM) of 145 and 152
The least common multiple (LCM) of 145 and 152 is 22040.
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 145 and 152?
First, calculate the GCD of 145 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 152 = 0 remainder 145 |
| 2 | 152 ÷ 145 = 1 remainder 7 |
| 3 | 145 ÷ 7 = 20 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 98 | 980 |
| 186 and 99 | 6138 |
| 185 and 42 | 7770 |
| 21 and 174 | 1218 |
| 183 and 119 | 21777 |