GCF and LCM Calculator Logo

What is the Least Common Multiple of 55054 and 55065?

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 55054 and 55065 is 3031548510.

LCM(55054,55065) = 3031548510

LCM Calculator and
and

Least Common Multiple of 55054 and 55065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55054 and 55065, than apply into the LCM equation.

GCF(55054,55065) = 1
LCM(55054,55065) = ( 55054 × 55065) / 1
LCM(55054,55065) = 3031548510 / 1
LCM(55054,55065) = 3031548510

Least Common Multiple (LCM) of 55054 and 55065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55054 and 55065. First we will calculate the prime factors of 55054 and 55065.

Prime Factorization of 55054

Prime factors of 55054 are 2, 27527. Prime factorization of 55054 in exponential form is:

55054 = 21 × 275271

Prime Factorization of 55065

Prime factors of 55065 are 3, 5, 3671. Prime factorization of 55065 in exponential form is:

55065 = 31 × 51 × 36711

Now multiplying the highest exponent prime factors to calculate the LCM of 55054 and 55065.

LCM(55054,55065) = 21 × 275271 × 31 × 51 × 36711
LCM(55054,55065) = 3031548510