What is the Least Common Multiple of 97647 and 97667?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 97647 and 97667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97647 and 97667, than apply into the LCM equation.

GCF(97647,97667) = 1
LCM(97647,97667) = ( 97647 × 97667) / 1
LCM(97647,97667) = 9536889549 / 1
LCM(97647,97667) = 9536889549

Least Common Multiple (LCM) of 97647 and 97667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97647 and 97667. First we will calculate the prime factors of 97647 and 97667.

Prime Factorization of 97647

Prime Factorization of 97667

Now multiplying the highest exponent prime factors to calculate the LCM of 97647 and 97667.

LCM(97647,97667) = 3¹ × 11² × 269¹ × 101¹ × 967¹
LCM(97647,97667) = 9536889549