What is the Least Common Multiple of 48076 and 48096?

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 48076 and 48096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48076 and 48096, than apply into the LCM equation.

GCF(48076,48096) = 4
LCM(48076,48096) = ( 48076 × 48096) / 4
LCM(48076,48096) = 2312263296 / 4
LCM(48076,48096) = 578065824

Least Common Multiple (LCM) of 48076 and 48096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48076 and 48096. First we will calculate the prime factors of 48076 and 48096.

Prime Factorization of 48076

Prime Factorization of 48096

Now multiplying the highest exponent prime factors to calculate the LCM of 48076 and 48096.

LCM(48076,48096) = 2⁵ × 7¹ × 17¹ × 101¹ × 3² × 167¹
LCM(48076,48096) = 578065824