Least Common Multiple (LCM) of 157 and 154
The least common multiple (LCM) of 157 and 154 is 24178.
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 154?
First, calculate the GCD of 157 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 154 = 1 remainder 3 |
| 2 | 154 ÷ 3 = 51 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 46 | 1380 |
| 169 and 35 | 5915 |
| 140 and 102 | 7140 |
| 145 and 179 | 25955 |
| 99 and 50 | 4950 |