GCF and LCM Calculator Logo

What is the Least Common Multiple of 55759 and 55773?

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 55759 and 55773 is 3109846707.

LCM(55759,55773) = 3109846707

LCM Calculator and
and

Least Common Multiple of 55759 and 55773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55759 and 55773, than apply into the LCM equation.

GCF(55759,55773) = 1
LCM(55759,55773) = ( 55759 × 55773) / 1
LCM(55759,55773) = 3109846707 / 1
LCM(55759,55773) = 3109846707

Least Common Multiple (LCM) of 55759 and 55773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55759 and 55773. First we will calculate the prime factors of 55759 and 55773.

Prime Factorization of 55759

Prime factors of 55759 are 11, 37, 137. Prime factorization of 55759 in exponential form is:

55759 = 111 × 371 × 1371

Prime Factorization of 55773

Prime factors of 55773 are 3, 6197. Prime factorization of 55773 in exponential form is:

55773 = 32 × 61971

Now multiplying the highest exponent prime factors to calculate the LCM of 55759 and 55773.

LCM(55759,55773) = 111 × 371 × 1371 × 32 × 61971
LCM(55759,55773) = 3109846707