GCF and LCM Calculator Logo

What is the Least Common Multiple of 56793 and 56800?

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 56793 and 56800 is 3225842400.

LCM(56793,56800) = 3225842400

LCM Calculator and
and

Least Common Multiple of 56793 and 56800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56793 and 56800, than apply into the LCM equation.

GCF(56793,56800) = 1
LCM(56793,56800) = ( 56793 × 56800) / 1
LCM(56793,56800) = 3225842400 / 1
LCM(56793,56800) = 3225842400

Least Common Multiple (LCM) of 56793 and 56800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56793 and 56800. First we will calculate the prime factors of 56793 and 56800.

Prime Factorization of 56793

Prime factors of 56793 are 3, 11, 1721. Prime factorization of 56793 in exponential form is:

56793 = 31 × 111 × 17211

Prime Factorization of 56800

Prime factors of 56800 are 2, 5, 71. Prime factorization of 56800 in exponential form is:

56800 = 25 × 52 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 56793 and 56800.

LCM(56793,56800) = 31 × 111 × 17211 × 25 × 52 × 711
LCM(56793,56800) = 3225842400