Least Common Multiple (LCM) of 119 and 98
The least common multiple (LCM) of 119 and 98 is 1666.
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 119 and 98?
First, calculate the GCD of 119 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 98 = 1 remainder 21 |
| 2 | 98 ÷ 21 = 4 remainder 14 |
| 3 | 21 ÷ 14 = 1 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 175 | 8925 |
| 115 and 138 | 690 |
| 107 and 68 | 7276 |
| 161 and 123 | 19803 |
| 116 and 146 | 8468 |