What is the Least Common Multiple of 97854 and 97872?

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 97854 and 97872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97854 and 97872, than apply into the LCM equation.

GCF(97854,97872) = 6
LCM(97854,97872) = ( 97854 × 97872) / 6
LCM(97854,97872) = 9577166688 / 6
LCM(97854,97872) = 1596194448

Least Common Multiple (LCM) of 97854 and 97872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97854 and 97872. First we will calculate the prime factors of 97854 and 97872.

Prime Factorization of 97854

Prime Factorization of 97872

Now multiplying the highest exponent prime factors to calculate the LCM of 97854 and 97872.

LCM(97854,97872) = 2⁴ × 3¹ × 47¹ × 347¹ × 2039¹
LCM(97854,97872) = 1596194448