What is the Least Common Multiple of 58068 and 58079?

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 58068 and 58079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58068 and 58079, than apply into the LCM equation.

GCF(58068,58079) = 1
LCM(58068,58079) = ( 58068 × 58079) / 1
LCM(58068,58079) = 3372531372 / 1
LCM(58068,58079) = 3372531372

Least Common Multiple (LCM) of 58068 and 58079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58068 and 58079. First we will calculate the prime factors of 58068 and 58079.

Prime Factorization of 58068

Prime Factorization of 58079

Now multiplying the highest exponent prime factors to calculate the LCM of 58068 and 58079.

LCM(58068,58079) = 2² × 3² × 1613¹ × 7¹ × 8297¹
LCM(58068,58079) = 3372531372