What is the Least Common Multiple of 94785 and 94790?

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 94785 and 94790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94785 and 94790, than apply into the LCM equation.

GCF(94785,94790) = 5
LCM(94785,94790) = ( 94785 × 94790) / 5
LCM(94785,94790) = 8984670150 / 5
LCM(94785,94790) = 1796934030

Least Common Multiple (LCM) of 94785 and 94790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94785 and 94790. First we will calculate the prime factors of 94785 and 94790.

Prime Factorization of 94785

Prime Factorization of 94790

Now multiplying the highest exponent prime factors to calculate the LCM of 94785 and 94790.

LCM(94785,94790) = 3¹ × 5¹ × 71¹ × 89¹ × 2¹ × 9479¹
LCM(94785,94790) = 1796934030