What is the Least Common Multiple of 97548 and 97563?

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 97563 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 97563, than apply into the LCM equation.

GCF(97548,97563) = 3
LCM(97548,97563) = ( 97548 × 97563) / 3
LCM(97548,97563) = 9517075524 / 3
LCM(97548,97563) = 3172358508

Least Common Multiple (LCM) of 97548 and 97563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97548 and 97563. First we will calculate the prime factors of 97548 and 97563.

Prime Factorization of 97548

Prime Factorization of 97563

Now multiplying the highest exponent prime factors to calculate the LCM of 97548 and 97563.

LCM(97548,97563) = 2² × 3¹ × 11¹ × 739¹ × 17¹ × 1913¹
LCM(97548,97563) = 3172358508