What is the Least Common Multiple of 58793 and 58807?

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 58793 and 58807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58793 and 58807, than apply into the LCM equation.

GCF(58793,58807) = 7
LCM(58793,58807) = ( 58793 × 58807) / 7
LCM(58793,58807) = 3457439951 / 7
LCM(58793,58807) = 493919993

Least Common Multiple (LCM) of 58793 and 58807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58793 and 58807. First we will calculate the prime factors of 58793 and 58807.

Prime Factorization of 58793

Prime Factorization of 58807

Now multiplying the highest exponent prime factors to calculate the LCM of 58793 and 58807.

LCM(58793,58807) = 7¹ × 37¹ × 227¹ × 31¹ × 271¹
LCM(58793,58807) = 493919993