GCF and LCM Calculator Logo

What is the Least Common Multiple of 27068 and 27075?

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 27068 and 27075 is 732866100.

LCM(27068,27075) = 732866100

LCM Calculator and
and

Least Common Multiple of 27068 and 27075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27068 and 27075, than apply into the LCM equation.

GCF(27068,27075) = 1
LCM(27068,27075) = ( 27068 × 27075) / 1
LCM(27068,27075) = 732866100 / 1
LCM(27068,27075) = 732866100

Least Common Multiple (LCM) of 27068 and 27075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27068 and 27075. First we will calculate the prime factors of 27068 and 27075.

Prime Factorization of 27068

Prime factors of 27068 are 2, 67, 101. Prime factorization of 27068 in exponential form is:

27068 = 22 × 671 × 1011

Prime Factorization of 27075

Prime factors of 27075 are 3, 5, 19. Prime factorization of 27075 in exponential form is:

27075 = 31 × 52 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 27068 and 27075.

LCM(27068,27075) = 22 × 671 × 1011 × 31 × 52 × 192
LCM(27068,27075) = 732866100