Least Common Multiple (LCM) of 151 and 97
The least common multiple (LCM) of 151 and 97 is 14647.
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 151 and 97?
First, calculate the GCD of 151 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 97 = 1 remainder 54 |
| 2 | 97 ÷ 54 = 1 remainder 43 |
| 3 | 54 ÷ 43 = 1 remainder 11 |
| 4 | 43 ÷ 11 = 3 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 168 | 5208 |
| 142 and 40 | 2840 |
| 38 and 158 | 3002 |
| 115 and 83 | 9545 |
| 34 and 30 | 510 |