Least Common Multiple (LCM) of 157 and 98
The least common multiple (LCM) of 157 and 98 is 15386.
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 157 and 98?
First, calculate the GCD of 157 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 98 = 1 remainder 59 |
| 2 | 98 ÷ 59 = 1 remainder 39 |
| 3 | 59 ÷ 39 = 1 remainder 20 |
| 4 | 39 ÷ 20 = 1 remainder 19 |
| 5 | 20 ÷ 19 = 1 remainder 1 |
| 6 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 56 | 952 |
| 39 and 67 | 2613 |
| 157 and 68 | 10676 |
| 23 and 141 | 3243 |
| 127 and 154 | 19558 |