Least Common Multiple (LCM) of 46 and 155
The least common multiple (LCM) of 46 and 155 is 7130.
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 46 and 155?
First, calculate the GCD of 46 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 155 = 0 remainder 46 |
| 2 | 155 ÷ 46 = 3 remainder 17 |
| 3 | 46 ÷ 17 = 2 remainder 12 |
| 4 | 17 ÷ 12 = 1 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 98 | 16562 |
| 59 and 22 | 1298 |
| 119 and 140 | 2380 |
| 138 and 79 | 10902 |
| 137 and 95 | 13015 |