What is the Least Common Multiple of 78048 and 78060?

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 78048 and 78060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78048 and 78060, than apply into the LCM equation.

GCF(78048,78060) = 12
LCM(78048,78060) = ( 78048 × 78060) / 12
LCM(78048,78060) = 6092426880 / 12
LCM(78048,78060) = 507702240

Least Common Multiple (LCM) of 78048 and 78060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78048 and 78060. First we will calculate the prime factors of 78048 and 78060.

Prime Factorization of 78048

Prime Factorization of 78060

Now multiplying the highest exponent prime factors to calculate the LCM of 78048 and 78060.

LCM(78048,78060) = 2⁵ × 3² × 271¹ × 5¹ × 1301¹
LCM(78048,78060) = 507702240