GCF and LCM Calculator Logo

What is the Least Common Multiple of 77433 and 77447?

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 77433 and 77447 is 5996953551.

LCM(77433,77447) = 5996953551

LCM Calculator and
and

Least Common Multiple of 77433 and 77447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77433 and 77447, than apply into the LCM equation.

GCF(77433,77447) = 1
LCM(77433,77447) = ( 77433 × 77447) / 1
LCM(77433,77447) = 5996953551 / 1
LCM(77433,77447) = 5996953551

Least Common Multiple (LCM) of 77433 and 77447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77433 and 77447. First we will calculate the prime factors of 77433 and 77447.

Prime Factorization of 77433

Prime factors of 77433 are 3, 53, 487. Prime factorization of 77433 in exponential form is:

77433 = 31 × 531 × 4871

Prime Factorization of 77447

Prime factors of 77447 are 77447. Prime factorization of 77447 in exponential form is:

77447 = 774471

Now multiplying the highest exponent prime factors to calculate the LCM of 77433 and 77447.

LCM(77433,77447) = 31 × 531 × 4871 × 774471
LCM(77433,77447) = 5996953551