GCF and LCM Calculator Logo

What is the Least Common Multiple of 55286 and 55290?

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 55286 and 55290 is 1528381470.

LCM(55286,55290) = 1528381470

LCM Calculator and
and

Least Common Multiple of 55286 and 55290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55286 and 55290, than apply into the LCM equation.

GCF(55286,55290) = 2
LCM(55286,55290) = ( 55286 × 55290) / 2
LCM(55286,55290) = 3056762940 / 2
LCM(55286,55290) = 1528381470

Least Common Multiple (LCM) of 55286 and 55290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55286 and 55290. First we will calculate the prime factors of 55286 and 55290.

Prime Factorization of 55286

Prime factors of 55286 are 2, 7, 11, 359. Prime factorization of 55286 in exponential form is:

55286 = 21 × 71 × 111 × 3591

Prime Factorization of 55290

Prime factors of 55290 are 2, 3, 5, 19, 97. Prime factorization of 55290 in exponential form is:

55290 = 21 × 31 × 51 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 55286 and 55290.

LCM(55286,55290) = 21 × 71 × 111 × 3591 × 31 × 51 × 191 × 971
LCM(55286,55290) = 1528381470