What is the Least Common Multiple of 58842 and 58854?

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 58842 and 58854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58842 and 58854, than apply into the LCM equation.

GCF(58842,58854) = 6
LCM(58842,58854) = ( 58842 × 58854) / 6
LCM(58842,58854) = 3463087068 / 6
LCM(58842,58854) = 577181178

Least Common Multiple (LCM) of 58842 and 58854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58842 and 58854. First we will calculate the prime factors of 58842 and 58854.

Prime Factorization of 58842

Prime Factorization of 58854

Now multiplying the highest exponent prime factors to calculate the LCM of 58842 and 58854.

LCM(58842,58854) = 2¹ × 3² × 7¹ × 467¹ × 17¹ × 577¹
LCM(58842,58854) = 577181178