GCF and LCM Calculator Logo

What is the Least Common Multiple of 99053 and 99072?

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 (LCM) of 99053 and 99072 is 9813378816.

LCM(99053,99072) = 9813378816

LCM Calculator and
and

Least Common Multiple of 99053 and 99072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99053 and 99072, than apply into the LCM equation.

GCF(99053,99072) = 1
LCM(99053,99072) = ( 99053 × 99072) / 1
LCM(99053,99072) = 9813378816 / 1
LCM(99053,99072) = 9813378816

Least Common Multiple (LCM) of 99053 and 99072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99053 and 99072. First we will calculate the prime factors of 99053 and 99072.

Prime Factorization of 99053

Prime factors of 99053 are 99053. Prime factorization of 99053 in exponential form is:

99053 = 990531

Prime Factorization of 99072

Prime factors of 99072 are 2, 3, 43. Prime factorization of 99072 in exponential form is:

99072 = 28 × 32 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 99053 and 99072.

LCM(99053,99072) = 990531 × 28 × 32 × 431
LCM(99053,99072) = 9813378816