Least Common Multiple (LCM) of 54 and 29
The least common multiple (LCM) of 54 and 29 is 1566.
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 54 and 29?
First, calculate the GCD of 54 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 29 = 1 remainder 25 |
| 2 | 29 ÷ 25 = 1 remainder 4 |
| 3 | 25 ÷ 4 = 6 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 91 | 10738 |
| 95 and 72 | 6840 |
| 164 and 124 | 5084 |
| 79 and 53 | 4187 |
| 10 and 117 | 1170 |