GCF and LCM Calculator Logo

What is the Least Common Multiple of 55077 and 55083?

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 55077 and 55083 is 1011268797.

LCM(55077,55083) = 1011268797

LCM Calculator and
and

Least Common Multiple of 55077 and 55083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55077 and 55083, than apply into the LCM equation.

GCF(55077,55083) = 3
LCM(55077,55083) = ( 55077 × 55083) / 3
LCM(55077,55083) = 3033806391 / 3
LCM(55077,55083) = 1011268797

Least Common Multiple (LCM) of 55077 and 55083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55077 and 55083. First we will calculate the prime factors of 55077 and 55083.

Prime Factorization of 55077

Prime factors of 55077 are 3, 11, 1669. Prime factorization of 55077 in exponential form is:

55077 = 31 × 111 × 16691

Prime Factorization of 55083

Prime factors of 55083 are 3, 7, 43, 61. Prime factorization of 55083 in exponential form is:

55083 = 31 × 71 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 55077 and 55083.

LCM(55077,55083) = 31 × 111 × 16691 × 71 × 431 × 611
LCM(55077,55083) = 1011268797