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lcm 6,9

Solution

lcm

6, 9

18

Solution steps

6, 9

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

Prime factorization of

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3

Multiply each factor the greatest number of times it occurs in either

6

9

= 2 \cdot 3 \cdot 3

Multiply the numbers:

2 \cdot 3 \cdot 3 = 18

= 18

- \frac{3}{3} (1 + (- 4) (- 6 + 5) - (- 6 + 1))

180 - 48

- 3 + (- 5) - 2

\frac{30}{45}

2 (2 + 2)