Least Common Multiple (LCM) of 152 and 97
The least common multiple (LCM) of 152 and 97 is 14744.
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 97?
First, calculate the GCD of 152 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 97 = 1 remainder 55 |
| 2 | 97 ÷ 55 = 1 remainder 42 |
| 3 | 55 ÷ 42 = 1 remainder 13 |
| 4 | 42 ÷ 13 = 3 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 48 | 144 |
| 127 and 42 | 5334 |
| 199 and 15 | 2985 |
| 47 and 200 | 9400 |
| 113 and 62 | 7006 |