Answer:
42
Step-by-step explanation:
Multiples of 14 are:
0
,
14
, 28
, <u>42</u>.
...
..
.
Multiples of 6 are :
0, 6
, 12
, 18
, 24
, 30
,
36
, <u>42</u>
...
...
.
.
Another method is to write the prime factorization of 14 and 6:
Take all the prime numbers with the highest exponent from the prime factorization:
14
=
2
×
7 and
6
=
2
×
3
L
.
C
.
M
(14
,
6
)
=
2
×3
×
7
=
<u>42</u>