GCF and LCM Calculator Logo

What is the Least Common Multiple of 9074 and 9078?

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 9074 and 9078 is 41186886.

LCM(9074,9078) = 41186886

LCM Calculator and
and

Least Common Multiple of 9074 and 9078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9074 and 9078, than apply into the LCM equation.

GCF(9074,9078) = 2
LCM(9074,9078) = ( 9074 × 9078) / 2
LCM(9074,9078) = 82373772 / 2
LCM(9074,9078) = 41186886

Least Common Multiple (LCM) of 9074 and 9078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9074 and 9078. First we will calculate the prime factors of 9074 and 9078.

Prime Factorization of 9074

Prime factors of 9074 are 2, 13, 349. Prime factorization of 9074 in exponential form is:

9074 = 21 × 131 × 3491

Prime Factorization of 9078

Prime factors of 9078 are 2, 3, 17, 89. Prime factorization of 9078 in exponential form is:

9078 = 21 × 31 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 9074 and 9078.

LCM(9074,9078) = 21 × 131 × 3491 × 31 × 171 × 891
LCM(9074,9078) = 41186886