Least Common Multiple (LCM) of 55 and 151
The least common multiple (LCM) of 55 and 151 is 8305.
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 55 and 151?
First, calculate the GCD of 55 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 151 = 0 remainder 55 |
| 2 | 151 ÷ 55 = 2 remainder 41 |
| 3 | 55 ÷ 41 = 1 remainder 14 |
| 4 | 41 ÷ 14 = 2 remainder 13 |
| 5 | 14 ÷ 13 = 1 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 107 | 13482 |
| 113 and 95 | 10735 |
| 77 and 44 | 308 |
| 35 and 122 | 4270 |
| 146 and 124 | 9052 |