GCF and LCM Calculator Logo

What is the Least Common Multiple of 56241 and 56249?

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 56241 and 56249 is 3163500009.

LCM(56241,56249) = 3163500009

LCM Calculator and
and

Least Common Multiple of 56241 and 56249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56241 and 56249, than apply into the LCM equation.

GCF(56241,56249) = 1
LCM(56241,56249) = ( 56241 × 56249) / 1
LCM(56241,56249) = 3163500009 / 1
LCM(56241,56249) = 3163500009

Least Common Multiple (LCM) of 56241 and 56249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56241 and 56249. First we will calculate the prime factors of 56241 and 56249.

Prime Factorization of 56241

Prime factors of 56241 are 3, 2083. Prime factorization of 56241 in exponential form is:

56241 = 33 × 20831

Prime Factorization of 56249

Prime factors of 56249 are 56249. Prime factorization of 56249 in exponential form is:

56249 = 562491

Now multiplying the highest exponent prime factors to calculate the LCM of 56241 and 56249.

LCM(56241,56249) = 33 × 20831 × 562491
LCM(56241,56249) = 3163500009