Least Common Multiple (LCM) of 155 and 35
The least common multiple (LCM) of 155 and 35 is 1085.
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 155 and 35?
First, calculate the GCD of 155 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 35 = 4 remainder 15 |
| 2 | 35 ÷ 15 = 2 remainder 5 |
| 3 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 22 | 1254 |
| 10 and 145 | 290 |
| 114 and 175 | 19950 |
| 108 and 148 | 3996 |
| 149 and 117 | 17433 |