GCF and LCM Calculator Logo

What is the Least Common Multiple of 55242 and 55251?

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 55242 and 55251 is 339130638.

LCM(55242,55251) = 339130638

LCM Calculator and
and

Least Common Multiple of 55242 and 55251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55242 and 55251, than apply into the LCM equation.

GCF(55242,55251) = 9
LCM(55242,55251) = ( 55242 × 55251) / 9
LCM(55242,55251) = 3052175742 / 9
LCM(55242,55251) = 339130638

Least Common Multiple (LCM) of 55242 and 55251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55242 and 55251. First we will calculate the prime factors of 55242 and 55251.

Prime Factorization of 55242

Prime factors of 55242 are 2, 3, 11, 31. Prime factorization of 55242 in exponential form is:

55242 = 21 × 34 × 111 × 311

Prime Factorization of 55251

Prime factors of 55251 are 3, 7, 877. Prime factorization of 55251 in exponential form is:

55251 = 32 × 71 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 55242 and 55251.

LCM(55242,55251) = 21 × 34 × 111 × 311 × 71 × 8771
LCM(55242,55251) = 339130638