Q. 55.0( 1 Vote )

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

Answer :

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


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