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>