What is the Least Common Multiple of 48096 and 48101?

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 48096 and 48101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48096 and 48101, than apply into the LCM equation.

GCF(48096,48101) = 1
LCM(48096,48101) = ( 48096 × 48101) / 1
LCM(48096,48101) = 2313465696 / 1
LCM(48096,48101) = 2313465696

Least Common Multiple (LCM) of 48096 and 48101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48096 and 48101. First we will calculate the prime factors of 48096 and 48101.

Prime Factorization of 48096

Prime Factorization of 48101

Now multiplying the highest exponent prime factors to calculate the LCM of 48096 and 48101.

LCM(48096,48101) = 2⁵ × 3² × 167¹ × 103¹ × 467¹
LCM(48096,48101) = 2313465696