What is the Least Common Multiple of 92898 and 92912?

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 92898 and 92912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92898 and 92912, than apply into the LCM equation.

GCF(92898,92912) = 2
LCM(92898,92912) = ( 92898 × 92912) / 2
LCM(92898,92912) = 8631338976 / 2
LCM(92898,92912) = 4315669488

Least Common Multiple (LCM) of 92898 and 92912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92898 and 92912. First we will calculate the prime factors of 92898 and 92912.

Prime Factorization of 92898

Prime Factorization of 92912

Now multiplying the highest exponent prime factors to calculate the LCM of 92898 and 92912.

LCM(92898,92912) = 2⁴ × 3² × 13¹ × 397¹ × 5807¹
LCM(92898,92912) = 4315669488