What is the Least Common Multiple of 92658 and 92673?

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 92658 and 92673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92658 and 92673, than apply into the LCM equation.

GCF(92658,92673) = 3
LCM(92658,92673) = ( 92658 × 92673) / 3
LCM(92658,92673) = 8586894834 / 3
LCM(92658,92673) = 2862298278

Least Common Multiple (LCM) of 92658 and 92673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92658 and 92673. First we will calculate the prime factors of 92658 and 92673.

Prime Factorization of 92658

Prime Factorization of 92673

Now multiplying the highest exponent prime factors to calculate the LCM of 92658 and 92673.

LCM(92658,92673) = 2¹ × 3² × 15443¹ × 7¹ × 1471¹
LCM(92658,92673) = 2862298278