GCF and LCM Calculator Logo

What is the Least Common Multiple of 34716 and 34736?

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 34716 and 34736 is 301473744.

LCM(34716,34736) = 301473744

LCM Calculator and
and

Least Common Multiple of 34716 and 34736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34716 and 34736, than apply into the LCM equation.

GCF(34716,34736) = 4
LCM(34716,34736) = ( 34716 × 34736) / 4
LCM(34716,34736) = 1205894976 / 4
LCM(34716,34736) = 301473744

Least Common Multiple (LCM) of 34716 and 34736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34716 and 34736. First we will calculate the prime factors of 34716 and 34736.

Prime Factorization of 34716

Prime factors of 34716 are 2, 3, 11, 263. Prime factorization of 34716 in exponential form is:

34716 = 22 × 31 × 111 × 2631

Prime Factorization of 34736

Prime factors of 34736 are 2, 13, 167. Prime factorization of 34736 in exponential form is:

34736 = 24 × 131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 34716 and 34736.

LCM(34716,34736) = 24 × 31 × 111 × 2631 × 131 × 1671
LCM(34716,34736) = 301473744