What is the Least Common Multiple of 97512 and 97531?

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 97512 and 97531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97512 and 97531, than apply into the LCM equation.

GCF(97512,97531) = 1
LCM(97512,97531) = ( 97512 × 97531) / 1
LCM(97512,97531) = 9510442872 / 1
LCM(97512,97531) = 9510442872

Least Common Multiple (LCM) of 97512 and 97531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97512 and 97531. First we will calculate the prime factors of 97512 and 97531.

Prime Factorization of 97512

Prime Factorization of 97531

Now multiplying the highest exponent prime factors to calculate the LCM of 97512 and 97531.

LCM(97512,97531) = 2³ × 3¹ × 17¹ × 239¹ × 7¹ × 13933¹
LCM(97512,97531) = 9510442872