GCF and LCM Calculator Logo

What is the Least Common Multiple of 56999 and 57014?

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 56999 and 57014 is 3249740986.

LCM(56999,57014) = 3249740986

LCM Calculator and
and

Least Common Multiple of 56999 and 57014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56999 and 57014, than apply into the LCM equation.

GCF(56999,57014) = 1
LCM(56999,57014) = ( 56999 × 57014) / 1
LCM(56999,57014) = 3249740986 / 1
LCM(56999,57014) = 3249740986

Least Common Multiple (LCM) of 56999 and 57014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56999 and 57014. First we will calculate the prime factors of 56999 and 57014.

Prime Factorization of 56999

Prime factors of 56999 are 56999. Prime factorization of 56999 in exponential form is:

56999 = 569991

Prime Factorization of 57014

Prime factors of 57014 are 2, 29, 983. Prime factorization of 57014 in exponential form is:

57014 = 21 × 291 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 56999 and 57014.

LCM(56999,57014) = 569991 × 21 × 291 × 9831
LCM(56999,57014) = 3249740986