
Least Common Multiple (LCM) of 135 and 51
The least common multiple (LCM) of 135 and 51 is 2295.
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 135 and 51?
First, calculate the GCD of 135 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 135 ÷ 51 = 2 remainder 33 |
2 | 51 ÷ 33 = 1 remainder 18 |
3 | 33 ÷ 18 = 1 remainder 15 |
4 | 18 ÷ 15 = 1 remainder 3 |
5 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
59 and 185 | 10915 |
51 and 171 | 2907 |
125 and 121 | 15125 |
134 and 109 | 14606 |
125 and 128 | 16000 |