GCF and LCM Calculator Logo

What is the Least Common Multiple of 27925 and 27930?

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 27925 and 27930 is 155989050.

LCM(27925,27930) = 155989050

LCM Calculator and
and

Least Common Multiple of 27925 and 27930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27925 and 27930, than apply into the LCM equation.

GCF(27925,27930) = 5
LCM(27925,27930) = ( 27925 × 27930) / 5
LCM(27925,27930) = 779945250 / 5
LCM(27925,27930) = 155989050

Least Common Multiple (LCM) of 27925 and 27930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27925 and 27930. First we will calculate the prime factors of 27925 and 27930.

Prime Factorization of 27925

Prime factors of 27925 are 5, 1117. Prime factorization of 27925 in exponential form is:

27925 = 52 × 11171

Prime Factorization of 27930

Prime factors of 27930 are 2, 3, 5, 7, 19. Prime factorization of 27930 in exponential form is:

27930 = 21 × 31 × 51 × 72 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 27925 and 27930.

LCM(27925,27930) = 52 × 11171 × 21 × 31 × 72 × 191
LCM(27925,27930) = 155989050