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 |
|---|---|
| 134 and 60 | 4020 |
| 174 and 32 | 2784 |
| 142 and 87 | 12354 |
| 77 and 13 | 1001 |
| 21 and 95 | 1995 |