19. Find the lowest common multiple to each pair of the given numbers.

Question

A) 2 and 3
B) 7 and 14
C) 25 and 15

Answer 1

LCM : Consider all the prime factors with maximum power

A)

Factorize 2 and 3

2 ===> 2

3 ===> 3

By Considering All the factors with highest powers

LCM :  2 X 3  =  6.

B)

Factorize 7 and 14

7 ===> 7

14 ===> 2 X 7

By Considering All the factors with highest powers

LCM :  2 X 7  =  14.

C)

Factorize 25 and 15

25 ===> 5 X 5 = 5 ²

15 ===> 3 X 5

By Considering All the factors with highest powers

LCM :  3 X 5 ² =  3 X 25  =  75

Answer :

A) LCM of 2 and 3 is 6

B) LCM of 7 and 14 is 14

C) LCM of 25 and 15 is 75