What is the Least Common Multiple of 6078 and 6083?

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 6078 and 6083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6078 and 6083, than apply into the LCM equation.

GCF(6078,6083) = 1
LCM(6078,6083) = ( 6078 × 6083) / 1
LCM(6078,6083) = 36972474 / 1
LCM(6078,6083) = 36972474

Least Common Multiple (LCM) of 6078 and 6083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6078 and 6083. First we will calculate the prime factors of 6078 and 6083.

Prime Factorization of 6078

Prime Factorization of 6083

Now multiplying the highest exponent prime factors to calculate the LCM of 6078 and 6083.

LCM(6078,6083) = 2¹ × 3¹ × 1013¹ × 7¹ × 11¹ × 79¹
LCM(6078,6083) = 36972474