GCF and LCM Calculator Logo

What is the Least Common Multiple of 48529 and 48549?

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 48529 and 48549 is 2356034421.

LCM(48529,48549) = 2356034421

LCM Calculator and
and

Least Common Multiple of 48529 and 48549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48529 and 48549, than apply into the LCM equation.

GCF(48529,48549) = 1
LCM(48529,48549) = ( 48529 × 48549) / 1
LCM(48529,48549) = 2356034421 / 1
LCM(48529,48549) = 2356034421

Least Common Multiple (LCM) of 48529 and 48549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48529 and 48549. First we will calculate the prime factors of 48529 and 48549.

Prime Factorization of 48529

Prime factors of 48529 are 13, 3733. Prime factorization of 48529 in exponential form is:

48529 = 131 × 37331

Prime Factorization of 48549

Prime factors of 48549 are 3, 16183. Prime factorization of 48549 in exponential form is:

48549 = 31 × 161831

Now multiplying the highest exponent prime factors to calculate the LCM of 48529 and 48549.

LCM(48529,48549) = 131 × 37331 × 31 × 161831
LCM(48529,48549) = 2356034421