GCF and LCM Calculator Logo

What is the Least Common Multiple of 67595 and 67613?

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 67595 and 67613 is 4570300735.

LCM(67595,67613) = 4570300735

LCM Calculator and
and

Least Common Multiple of 67595 and 67613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67595 and 67613, than apply into the LCM equation.

GCF(67595,67613) = 1
LCM(67595,67613) = ( 67595 × 67613) / 1
LCM(67595,67613) = 4570300735 / 1
LCM(67595,67613) = 4570300735

Least Common Multiple (LCM) of 67595 and 67613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67595 and 67613. First we will calculate the prime factors of 67595 and 67613.

Prime Factorization of 67595

Prime factors of 67595 are 5, 11, 1229. Prime factorization of 67595 in exponential form is:

67595 = 51 × 111 × 12291

Prime Factorization of 67613

Prime factors of 67613 are 7, 13, 743. Prime factorization of 67613 in exponential form is:

67613 = 71 × 131 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 67595 and 67613.

LCM(67595,67613) = 51 × 111 × 12291 × 71 × 131 × 7431
LCM(67595,67613) = 4570300735