What is the Least Common Multiple of 96036 and 96053?

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 96036 and 96053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96036 and 96053, than apply into the LCM equation.

GCF(96036,96053) = 1
LCM(96036,96053) = ( 96036 × 96053) / 1
LCM(96036,96053) = 9224545908 / 1
LCM(96036,96053) = 9224545908

Least Common Multiple (LCM) of 96036 and 96053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96036 and 96053. First we will calculate the prime factors of 96036 and 96053.

Prime Factorization of 96036

Prime Factorization of 96053

Now multiplying the highest exponent prime factors to calculate the LCM of 96036 and 96053.

LCM(96036,96053) = 2² × 3¹ × 53¹ × 151¹ × 96053¹
LCM(96036,96053) = 9224545908