GCF and LCM Calculator Logo

What is the Least Common Multiple of 66605 and 66613?

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 66605 and 66613 is 4436758865.

LCM(66605,66613) = 4436758865

LCM Calculator and
and

Least Common Multiple of 66605 and 66613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66605 and 66613, than apply into the LCM equation.

GCF(66605,66613) = 1
LCM(66605,66613) = ( 66605 × 66613) / 1
LCM(66605,66613) = 4436758865 / 1
LCM(66605,66613) = 4436758865

Least Common Multiple (LCM) of 66605 and 66613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66605 and 66613. First we will calculate the prime factors of 66605 and 66613.

Prime Factorization of 66605

Prime factors of 66605 are 5, 7, 11, 173. Prime factorization of 66605 in exponential form is:

66605 = 51 × 71 × 111 × 1731

Prime Factorization of 66613

Prime factors of 66613 are 29, 2297. Prime factorization of 66613 in exponential form is:

66613 = 291 × 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 66605 and 66613.

LCM(66605,66613) = 51 × 71 × 111 × 1731 × 291 × 22971
LCM(66605,66613) = 4436758865