GCF and LCM Calculator Logo

What is the Least Common Multiple of 56780 and 56799?

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 56780 and 56799 is 3225047220.

LCM(56780,56799) = 3225047220

LCM Calculator and
and

Least Common Multiple of 56780 and 56799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56780 and 56799, than apply into the LCM equation.

GCF(56780,56799) = 1
LCM(56780,56799) = ( 56780 × 56799) / 1
LCM(56780,56799) = 3225047220 / 1
LCM(56780,56799) = 3225047220

Least Common Multiple (LCM) of 56780 and 56799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56780 and 56799. First we will calculate the prime factors of 56780 and 56799.

Prime Factorization of 56780

Prime factors of 56780 are 2, 5, 17, 167. Prime factorization of 56780 in exponential form is:

56780 = 22 × 51 × 171 × 1671

Prime Factorization of 56799

Prime factors of 56799 are 3, 6311. Prime factorization of 56799 in exponential form is:

56799 = 32 × 63111

Now multiplying the highest exponent prime factors to calculate the LCM of 56780 and 56799.

LCM(56780,56799) = 22 × 51 × 171 × 1671 × 32 × 63111
LCM(56780,56799) = 3225047220