What is the Least Common Multiple of 97548 and 97562?

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 97562 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 97562, than apply into the LCM equation.

GCF(97548,97562) = 2
LCM(97548,97562) = ( 97548 × 97562) / 2
LCM(97548,97562) = 9516977976 / 2
LCM(97548,97562) = 4758488988

Least Common Multiple (LCM) of 97548 and 97562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97548 and 97562. First we will calculate the prime factors of 97548 and 97562.

Prime Factorization of 97548

Prime Factorization of 97562

Now multiplying the highest exponent prime factors to calculate the LCM of 97548 and 97562.

LCM(97548,97562) = 2² × 3¹ × 11¹ × 739¹ × 48781¹
LCM(97548,97562) = 4758488988