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The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. In this case, the LCM of ab and bc would be the product of the two numbers divided by their greatest common divisor (GCD), which is b. Therefore, the LCM of ab and bc is abc.
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BlakeIt depends on whether or not a and c are coprime (have no factors in common).
Suppose x is the greatest common factor of a and c, where x = 1 if a and c are coprime.
ie GCF(a, c) = x
then let a = x*m and c = x*n where m and n are coprime
then LCM(ab, bc) = LCM(x*m*b, x*n*b) = x*m*n*b
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What is the GCF of ab and bc?
The GCF is b.
If GCF ab 1 then LCM ab ab?
LCM is the multiple of the highest power of prime factors in two or more numbers. Example: LCM of 9, 15, and 25 is 225, which is the multiple of the highest power of prime factors in 9, 15, and 25 (32 x 52).
What is the LCM of bc and cd?
bcd
What is greatest common factor of ab-bc?
The GCF is b.
What is 3a plus ab plus 3c plus bc?
That factors to (b + 3)(a + c)
