GCF and LCM Calculator Logo

What is the Least Common Multiple of 56191 and 56201?

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 56191 and 56201 is 3157990391.

LCM(56191,56201) = 3157990391

LCM Calculator and
and

Least Common Multiple of 56191 and 56201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56191 and 56201, than apply into the LCM equation.

GCF(56191,56201) = 1
LCM(56191,56201) = ( 56191 × 56201) / 1
LCM(56191,56201) = 3157990391 / 1
LCM(56191,56201) = 3157990391

Least Common Multiple (LCM) of 56191 and 56201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56191 and 56201. First we will calculate the prime factors of 56191 and 56201.

Prime Factorization of 56191

Prime factors of 56191 are 83, 677. Prime factorization of 56191 in exponential form is:

56191 = 831 × 6771

Prime Factorization of 56201

Prime factors of 56201 are 43, 1307. Prime factorization of 56201 in exponential form is:

56201 = 431 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 56191 and 56201.

LCM(56191,56201) = 831 × 6771 × 431 × 13071
LCM(56191,56201) = 3157990391