Least Common Multiple (LCM) of 141 and 98
The least common multiple (LCM) of 141 and 98 is 13818.
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 141 and 98?
First, calculate the GCD of 141 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 98 = 1 remainder 43 |
| 2 | 98 ÷ 43 = 2 remainder 12 |
| 3 | 43 ÷ 12 = 3 remainder 7 |
| 4 | 12 ÷ 7 = 1 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 137 | 8768 |
| 88 and 168 | 1848 |
| 148 and 144 | 5328 |
| 195 and 108 | 7020 |
| 157 and 62 | 9734 |