Least Common Multiple (LCM) of 153 and 55
The least common multiple (LCM) of 153 and 55 is 8415.
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 153 and 55?
First, calculate the GCD of 153 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 55 = 2 remainder 43 |
| 2 | 55 ÷ 43 = 1 remainder 12 |
| 3 | 43 ÷ 12 = 3 remainder 7 |
| 4 | 12 ÷ 7 = 1 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 154 | 25718 |
| 117 and 58 | 6786 |
| 102 and 168 | 2856 |
| 123 and 179 | 22017 |
| 41 and 146 | 5986 |