GCF and LCM Calculator Logo

What is the Least Common Multiple of 77773 and 77782?

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 77773 and 77782 is 6049339486.

LCM(77773,77782) = 6049339486

LCM Calculator and
and

Least Common Multiple of 77773 and 77782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77773 and 77782, than apply into the LCM equation.

GCF(77773,77782) = 1
LCM(77773,77782) = ( 77773 × 77782) / 1
LCM(77773,77782) = 6049339486 / 1
LCM(77773,77782) = 6049339486

Least Common Multiple (LCM) of 77773 and 77782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77773 and 77782. First we will calculate the prime factors of 77773 and 77782.

Prime Factorization of 77773

Prime factors of 77773 are 77773. Prime factorization of 77773 in exponential form is:

77773 = 777731

Prime Factorization of 77782

Prime factors of 77782 are 2, 38891. Prime factorization of 77782 in exponential form is:

77782 = 21 × 388911

Now multiplying the highest exponent prime factors to calculate the LCM of 77773 and 77782.

LCM(77773,77782) = 777731 × 21 × 388911
LCM(77773,77782) = 6049339486