Find l.c.m.. (105, 91) using g. c. d. (a, b) (a, b) = ab

Here, 105 > 91

105 = 91 × 1 + 14

91 = 14 × 6 + 7

14 = 7 × 2 + 0

Last non-negative remainder is 7.

Therefore, g. c. d(105, 91) = 7

Now, we know the relation

g. c. d(a, b) × l.c.m.(a, b) = ab

putting a = 105 and b = 91

g. c. d(105, 91) × l. c. d(105, 91) = 105 × 91

7 × l. c. d(105, 91) = 105 × 91

l. c. d(105, 91) =

l. c. d(105, 91) = 105 × 13 = 1365