GCF and LCM Calculator Logo

What is the Least Common Multiple of 55774 and 55786?

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 55774 and 55786 is 1555704182.

LCM(55774,55786) = 1555704182

LCM Calculator and
and

Least Common Multiple of 55774 and 55786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55774 and 55786, than apply into the LCM equation.

GCF(55774,55786) = 2
LCM(55774,55786) = ( 55774 × 55786) / 2
LCM(55774,55786) = 3111408364 / 2
LCM(55774,55786) = 1555704182

Least Common Multiple (LCM) of 55774 and 55786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55774 and 55786. First we will calculate the prime factors of 55774 and 55786.

Prime Factorization of 55774

Prime factors of 55774 are 2, 79, 353. Prime factorization of 55774 in exponential form is:

55774 = 21 × 791 × 3531

Prime Factorization of 55786

Prime factors of 55786 are 2, 27893. Prime factorization of 55786 in exponential form is:

55786 = 21 × 278931

Now multiplying the highest exponent prime factors to calculate the LCM of 55774 and 55786.

LCM(55774,55786) = 21 × 791 × 3531 × 278931
LCM(55774,55786) = 1555704182