Least Common Multiple (LCM) of 149 and 52
The least common multiple (LCM) of 149 and 52 is 7748.
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 149 and 52?
First, calculate the GCD of 149 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 52 = 2 remainder 45 |
| 2 | 52 ÷ 45 = 1 remainder 7 |
| 3 | 45 ÷ 7 = 6 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 152 | 2128 |
| 85 and 18 | 1530 |
| 12 and 160 | 480 |
| 104 and 80 | 1040 |
| 97 and 89 | 8633 |