163
State the "Fundamental Theorem of Arithmetic" and use it to find LCM of $36$ and $54$.
Show SolutionHide Solution↓
Statement: "Every composite number can be factorized as a product of primes, and this factorization is unique, apart from the order in which the prime factors occur." [1 mark]
$36 = 2^2 \times 3^2$ [1/2 mark]
$54 = 2 \times 3^3$ [1/2 mark]
$\text{LCM}(36, 54) = 2^2 \times 3^3$ or $108$ [1 mark]
$36 = 2^2 \times 3^2$ [1/2 mark]
$54 = 2 \times 3^3$ [1/2 mark]
$\text{LCM}(36, 54) = 2^2 \times 3^3$ or $108$ [1 mark]