Least Common Multiple (LCM) of 154 and 98
The least common multiple (LCM) of 154 and 98 is 1078.
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 154 and 98?
First, calculate the GCD of 154 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 98 = 1 remainder 56 |
| 2 | 98 ÷ 56 = 1 remainder 42 |
| 3 | 56 ÷ 42 = 1 remainder 14 |
| 4 | 42 ÷ 14 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 59 | 1711 |
| 137 and 92 | 12604 |
| 164 and 65 | 10660 |
| 29 and 126 | 3654 |
| 63 and 45 | 315 |