What is the Least Common Multiple of 97548 and 97559?

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 97548 and 97559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97548 and 97559, than apply into the LCM equation.

GCF(97548,97559) = 11
LCM(97548,97559) = ( 97548 × 97559) / 11
LCM(97548,97559) = 9516685332 / 11
LCM(97548,97559) = 865153212

Least Common Multiple (LCM) of 97548 and 97559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97548 and 97559. First we will calculate the prime factors of 97548 and 97559.

Prime Factorization of 97548

Prime Factorization of 97559

Now multiplying the highest exponent prime factors to calculate the LCM of 97548 and 97559.

LCM(97548,97559) = 2² × 3¹ × 11¹ × 739¹ × 7² × 181¹
LCM(97548,97559) = 865153212