2 numbers don't have any common factors.
LCM (A, B) = AB/ Gcf
Example : A = 24 = 2^{3} * 3
B= 36 = 2^{2} * 3^{2}
GCF = 2^{2} * 3 = 12 / product of common factors with lowest exponent.
LCM = 2^{3} * 3^{2} = 8(9) = 72 / Equals product of common factors with highest exponent .
LCM = (36) (24) = 72
12
This means that to find the lowest number which 2 numbers can be divided into that, the greatest
common factor is multiplied only once
Like the above example:
24 = 2^{3 }
* 3
36 = 2^{2} * 3^{2 }
between 8 and 4 , 8 =2^{3 }is divisible both to 8 and 4
Between 3 and 9, 9 = 3^{2} is divisible to both 9 and 3
Their product 8 * 9 = 72 is divisible to both 24, 36.
Which is
(24) (36) = 72
12 (GCF)
If 2 numbers like 22, 45
22 = 2 *11
45 = 3^{2} * 5
Don't have any common factor, therefore , LCM = 22* 45 = 990
Dec 11

Parviz F.