GCF and LCM Calculator Logo

What is the Least Common Multiple of 27443 and 27450?

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 27443 and 27450 is 753310350.

LCM(27443,27450) = 753310350

LCM Calculator and
and

Least Common Multiple of 27443 and 27450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27443 and 27450, than apply into the LCM equation.

GCF(27443,27450) = 1
LCM(27443,27450) = ( 27443 × 27450) / 1
LCM(27443,27450) = 753310350 / 1
LCM(27443,27450) = 753310350

Least Common Multiple (LCM) of 27443 and 27450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27443 and 27450. First we will calculate the prime factors of 27443 and 27450.

Prime Factorization of 27443

Prime factors of 27443 are 13, 2111. Prime factorization of 27443 in exponential form is:

27443 = 131 × 21111

Prime Factorization of 27450

Prime factors of 27450 are 2, 3, 5, 61. Prime factorization of 27450 in exponential form is:

27450 = 21 × 32 × 52 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 27443 and 27450.

LCM(27443,27450) = 131 × 21111 × 21 × 32 × 52 × 611
LCM(27443,27450) = 753310350