GCF and LCM Calculator Logo

What is the Least Common Multiple of 77873 and 77887?

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 77873 and 77887 is 6065294351.

LCM(77873,77887) = 6065294351

LCM Calculator and
and

Least Common Multiple of 77873 and 77887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77873 and 77887, than apply into the LCM equation.

GCF(77873,77887) = 1
LCM(77873,77887) = ( 77873 × 77887) / 1
LCM(77873,77887) = 6065294351 / 1
LCM(77873,77887) = 6065294351

Least Common Multiple (LCM) of 77873 and 77887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77873 and 77887. First we will calculate the prime factors of 77873 and 77887.

Prime Factorization of 77873

Prime factors of 77873 are 43, 1811. Prime factorization of 77873 in exponential form is:

77873 = 431 × 18111

Prime Factorization of 77887

Prime factors of 77887 are 71, 1097. Prime factorization of 77887 in exponential form is:

77887 = 711 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 77873 and 77887.

LCM(77873,77887) = 431 × 18111 × 711 × 10971
LCM(77873,77887) = 6065294351