
Least Common Multiple (LCM) of 127 and 33
The least common multiple (LCM) of 127 and 33 is 4191.
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 127 and 33?
First, calculate the GCD of 127 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 127 ÷ 33 = 3 remainder 28 |
2 | 33 ÷ 28 = 1 remainder 5 |
3 | 28 ÷ 5 = 5 remainder 3 |
4 | 5 ÷ 3 = 1 remainder 2 |
5 | 3 ÷ 2 = 1 remainder 1 |
6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
137 and 162 | 22194 |
59 and 118 | 118 |
129 and 30 | 1290 |
173 and 35 | 6055 |
21 and 168 | 168 |