Least Common Multiple (LCM) of 157 and 35
The least common multiple (LCM) of 157 and 35 is 5495.
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 35?
First, calculate the GCD of 157 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 35 = 4 remainder 17 |
| 2 | 35 ÷ 17 = 2 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 151 | 19932 |
| 174 and 152 | 13224 |
| 10 and 90 | 90 |
| 110 and 76 | 4180 |
| 193 and 56 | 10808 |