What is the Least Common Multiple of 97884 and 97898?

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 97884 and 97898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97884 and 97898, than apply into the LCM equation.

GCF(97884,97898) = 2
LCM(97884,97898) = ( 97884 × 97898) / 2
LCM(97884,97898) = 9582647832 / 2
LCM(97884,97898) = 4791323916

Least Common Multiple (LCM) of 97884 and 97898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97884 and 97898. First we will calculate the prime factors of 97884 and 97898.

Prime Factorization of 97884

Prime Factorization of 97898

Now multiplying the highest exponent prime factors to calculate the LCM of 97884 and 97898.

LCM(97884,97898) = 2² × 3² × 2719¹ × 31¹ × 1579¹
LCM(97884,97898) = 4791323916