GCF and LCM Calculator Logo

What is the Least Common Multiple of 55535 and 55550?

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 55535 and 55550 is 616993850.

LCM(55535,55550) = 616993850

LCM Calculator and
and

Least Common Multiple of 55535 and 55550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55535 and 55550, than apply into the LCM equation.

GCF(55535,55550) = 5
LCM(55535,55550) = ( 55535 × 55550) / 5
LCM(55535,55550) = 3084969250 / 5
LCM(55535,55550) = 616993850

Least Common Multiple (LCM) of 55535 and 55550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55535 and 55550. First we will calculate the prime factors of 55535 and 55550.

Prime Factorization of 55535

Prime factors of 55535 are 5, 29, 383. Prime factorization of 55535 in exponential form is:

55535 = 51 × 291 × 3831

Prime Factorization of 55550

Prime factors of 55550 are 2, 5, 11, 101. Prime factorization of 55550 in exponential form is:

55550 = 21 × 52 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 55535 and 55550.

LCM(55535,55550) = 52 × 291 × 3831 × 21 × 111 × 1011
LCM(55535,55550) = 616993850