GCF and LCM Calculator Logo

What is the Least Common Multiple of 10027 and 10034?

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 10027 and 10034 is 100610918.

LCM(10027,10034) = 100610918

LCM Calculator and
and

Least Common Multiple of 10027 and 10034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10027 and 10034, than apply into the LCM equation.

GCF(10027,10034) = 1
LCM(10027,10034) = ( 10027 × 10034) / 1
LCM(10027,10034) = 100610918 / 1
LCM(10027,10034) = 100610918

Least Common Multiple (LCM) of 10027 and 10034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10027 and 10034. First we will calculate the prime factors of 10027 and 10034.

Prime Factorization of 10027

Prime factors of 10027 are 37, 271. Prime factorization of 10027 in exponential form is:

10027 = 371 × 2711

Prime Factorization of 10034

Prime factors of 10034 are 2, 29, 173. Prime factorization of 10034 in exponential form is:

10034 = 21 × 291 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 10027 and 10034.

LCM(10027,10034) = 371 × 2711 × 21 × 291 × 1731
LCM(10027,10034) = 100610918