Least Common Multiple (LCM) of 153 and 106
The least common multiple (LCM) of 153 and 106 is 16218.
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 106?
First, calculate the GCD of 153 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 106 = 1 remainder 47 |
| 2 | 106 ÷ 47 = 2 remainder 12 |
| 3 | 47 ÷ 12 = 3 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 127 | 4064 |
| 104 and 114 | 5928 |
| 124 and 83 | 10292 |
| 163 and 94 | 15322 |
| 12 and 45 | 180 |