Least Common Multiple (LCM) of 97 and 152
The least common multiple (LCM) of 97 and 152 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 97 and 152?
First, calculate the GCD of 97 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 152 = 0 remainder 97 |
| 2 | 152 ÷ 97 = 1 remainder 55 |
| 3 | 97 ÷ 55 = 1 remainder 42 |
| 4 | 55 ÷ 42 = 1 remainder 13 |
| 5 | 42 ÷ 13 = 3 remainder 3 |
| 6 | 13 ÷ 3 = 4 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 146 | 13286 |
| 45 and 24 | 360 |
| 139 and 108 | 15012 |
| 151 and 10 | 1510 |
| 62 and 87 | 5394 |