What is the Least Common Multiple of 97536 and 97542?

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 97536 and 97542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97536 and 97542, than apply into the LCM equation.

GCF(97536,97542) = 6
LCM(97536,97542) = ( 97536 × 97542) / 6
LCM(97536,97542) = 9513856512 / 6
LCM(97536,97542) = 1585642752

Least Common Multiple (LCM) of 97536 and 97542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97536 and 97542. First we will calculate the prime factors of 97536 and 97542.

Prime Factorization of 97536

Prime Factorization of 97542

Now multiplying the highest exponent prime factors to calculate the LCM of 97536 and 97542.

LCM(97536,97542) = 2⁸ × 3² × 127¹ × 5419¹
LCM(97536,97542) = 1585642752