Least Common Multiple (LCM) of 145 and 147
The least common multiple (LCM) of 145 and 147 is 21315.
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 147?
First, calculate the GCD of 145 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 147 = 0 remainder 145 |
| 2 | 147 ÷ 145 = 1 remainder 2 |
| 3 | 145 ÷ 2 = 72 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 149 | 23840 |
| 68 and 104 | 1768 |
| 121 and 142 | 17182 |
| 130 and 161 | 20930 |
| 170 and 178 | 15130 |