Least Common Multiple (LCM) of 157 and 148
The least common multiple (LCM) of 157 and 148 is 23236.
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 148?
First, calculate the GCD of 157 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 148 = 1 remainder 9 |
| 2 | 148 ÷ 9 = 16 remainder 4 |
| 3 | 9 ÷ 4 = 2 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 121 | 2178 |
| 68 and 145 | 9860 |
| 24 and 111 | 888 |
| 167 and 77 | 12859 |
| 91 and 85 | 7735 |