GCF and LCM Calculator Logo

What is the Least Common Multiple of 9057 and 9070?

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 9057 and 9070 is 82146990.

LCM(9057,9070) = 82146990

LCM Calculator and
and

Least Common Multiple of 9057 and 9070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9057 and 9070, than apply into the LCM equation.

GCF(9057,9070) = 1
LCM(9057,9070) = ( 9057 × 9070) / 1
LCM(9057,9070) = 82146990 / 1
LCM(9057,9070) = 82146990

Least Common Multiple (LCM) of 9057 and 9070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9057 and 9070. First we will calculate the prime factors of 9057 and 9070.

Prime Factorization of 9057

Prime factors of 9057 are 3, 3019. Prime factorization of 9057 in exponential form is:

9057 = 31 × 30191

Prime Factorization of 9070

Prime factors of 9070 are 2, 5, 907. Prime factorization of 9070 in exponential form is:

9070 = 21 × 51 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 9057 and 9070.

LCM(9057,9070) = 31 × 30191 × 21 × 51 × 9071
LCM(9057,9070) = 82146990