GCF and LCM Calculator Logo

What is the Least Common Multiple of 8738 and 8751?

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 8738 and 8751 is 76466238.

LCM(8738,8751) = 76466238

LCM Calculator and
and

Least Common Multiple of 8738 and 8751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8738 and 8751, than apply into the LCM equation.

GCF(8738,8751) = 1
LCM(8738,8751) = ( 8738 × 8751) / 1
LCM(8738,8751) = 76466238 / 1
LCM(8738,8751) = 76466238

Least Common Multiple (LCM) of 8738 and 8751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8738 and 8751. First we will calculate the prime factors of 8738 and 8751.

Prime Factorization of 8738

Prime factors of 8738 are 2, 17, 257. Prime factorization of 8738 in exponential form is:

8738 = 21 × 171 × 2571

Prime Factorization of 8751

Prime factors of 8751 are 3, 2917. Prime factorization of 8751 in exponential form is:

8751 = 31 × 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 8738 and 8751.

LCM(8738,8751) = 21 × 171 × 2571 × 31 × 29171
LCM(8738,8751) = 76466238