calculate lcm of 18 and 24 — step-by-step solution

Let's evaluate:

ppcm (18, 24)

Let's decompose:

18

into prime factors:

2 \times 9

2 \times 3 \times 3

2 \times 3^{2}

Let's decompose:

24

into prime factors:

2 \times 12

2^{2} \times 6

2^{3} \times 3

To obtain the LCM, we keep all the prime factors with the greatest exponent: 2^3*3^2

2^{3} \times 3^{2}

8 \times 9

▷Result: $72$