Least Common Multiple (LCM) of 155 and 70
The least common multiple (LCM) of 155 and 70 is 2170.
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 70?
First, calculate the GCD of 155 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 70 = 2 remainder 15 |
| 2 | 70 ÷ 15 = 4 remainder 10 |
| 3 | 15 ÷ 10 = 1 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 185 | 2590 |
| 123 and 16 | 1968 |
| 117 and 93 | 3627 |
| 58 and 126 | 3654 |
| 191 and 100 | 19100 |