Least Common Multiple (LCM) of 142 and 98
The least common multiple (LCM) of 142 and 98 is 6958.
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 142 and 98?
First, calculate the GCD of 142 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 98 = 1 remainder 44 |
| 2 | 98 ÷ 44 = 2 remainder 10 |
| 3 | 44 ÷ 10 = 4 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 141 | 9870 |
| 150 and 134 | 10050 |
| 109 and 83 | 9047 |
| 96 and 146 | 7008 |
| 170 and 141 | 23970 |