Least Common Multiple (LCM) of 35 and 157
The least common multiple (LCM) of 35 and 157 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 35 and 157?
First, calculate the GCD of 35 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 157 = 0 remainder 35 |
| 2 | 157 ÷ 35 = 4 remainder 17 |
| 3 | 35 ÷ 17 = 2 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 172 | 5332 |
| 98 and 105 | 1470 |
| 156 and 200 | 7800 |
| 119 and 86 | 10234 |
| 175 and 23 | 4025 |