What is the Least Common Multiple of 94828 and 94842?

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 94828 and 94842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94828 and 94842, than apply into the LCM equation.

GCF(94828,94842) = 2
LCM(94828,94842) = ( 94828 × 94842) / 2
LCM(94828,94842) = 8993677176 / 2
LCM(94828,94842) = 4496838588

Least Common Multiple (LCM) of 94828 and 94842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94828 and 94842. First we will calculate the prime factors of 94828 and 94842.

Prime Factorization of 94828

Prime Factorization of 94842

Now multiplying the highest exponent prime factors to calculate the LCM of 94828 and 94842.

LCM(94828,94842) = 2² × 151¹ × 157¹ × 3² × 11¹ × 479¹
LCM(94828,94842) = 4496838588