GCF and LCM Calculator Logo

What is the Least Common Multiple of 27548 and 27565?

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 27548 and 27565 is 759360620.

LCM(27548,27565) = 759360620

LCM Calculator and
and

Least Common Multiple of 27548 and 27565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27548 and 27565, than apply into the LCM equation.

GCF(27548,27565) = 1
LCM(27548,27565) = ( 27548 × 27565) / 1
LCM(27548,27565) = 759360620 / 1
LCM(27548,27565) = 759360620

Least Common Multiple (LCM) of 27548 and 27565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27548 and 27565. First we will calculate the prime factors of 27548 and 27565.

Prime Factorization of 27548

Prime factors of 27548 are 2, 71, 97. Prime factorization of 27548 in exponential form is:

27548 = 22 × 711 × 971

Prime Factorization of 27565

Prime factors of 27565 are 5, 37, 149. Prime factorization of 27565 in exponential form is:

27565 = 51 × 371 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 27548 and 27565.

LCM(27548,27565) = 22 × 711 × 971 × 51 × 371 × 1491
LCM(27548,27565) = 759360620