GCF and LCM Calculator Logo

What is the Least Common Multiple of 56306 and 56311?

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 56306 and 56311 is 3170647166.

LCM(56306,56311) = 3170647166

LCM Calculator and
and

Least Common Multiple of 56306 and 56311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56306 and 56311, than apply into the LCM equation.

GCF(56306,56311) = 1
LCM(56306,56311) = ( 56306 × 56311) / 1
LCM(56306,56311) = 3170647166 / 1
LCM(56306,56311) = 3170647166

Least Common Multiple (LCM) of 56306 and 56311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56306 and 56311. First we will calculate the prime factors of 56306 and 56311.

Prime Factorization of 56306

Prime factors of 56306 are 2, 47, 599. Prime factorization of 56306 in exponential form is:

56306 = 21 × 471 × 5991

Prime Factorization of 56311

Prime factors of 56311 are 56311. Prime factorization of 56311 in exponential form is:

56311 = 563111

Now multiplying the highest exponent prime factors to calculate the LCM of 56306 and 56311.

LCM(56306,56311) = 21 × 471 × 5991 × 563111
LCM(56306,56311) = 3170647166