GCF and LCM Calculator Logo

What is the Least Common Multiple of 54245 and 54250?

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 54245 and 54250 is 588558250.

LCM(54245,54250) = 588558250

LCM Calculator and
and

Least Common Multiple of 54245 and 54250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54245 and 54250, than apply into the LCM equation.

GCF(54245,54250) = 5
LCM(54245,54250) = ( 54245 × 54250) / 5
LCM(54245,54250) = 2942791250 / 5
LCM(54245,54250) = 588558250

Least Common Multiple (LCM) of 54245 and 54250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54245 and 54250. First we will calculate the prime factors of 54245 and 54250.

Prime Factorization of 54245

Prime factors of 54245 are 5, 19, 571. Prime factorization of 54245 in exponential form is:

54245 = 51 × 191 × 5711

Prime Factorization of 54250

Prime factors of 54250 are 2, 5, 7, 31. Prime factorization of 54250 in exponential form is:

54250 = 21 × 53 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 54245 and 54250.

LCM(54245,54250) = 53 × 191 × 5711 × 21 × 71 × 311
LCM(54245,54250) = 588558250