GCF and LCM Calculator Logo

What is the Least Common Multiple of 95002 and 95010?

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 95002 and 95010 is 4513070010.

LCM(95002,95010) = 4513070010

LCM Calculator and
and

Least Common Multiple of 95002 and 95010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95002 and 95010, than apply into the LCM equation.

GCF(95002,95010) = 2
LCM(95002,95010) = ( 95002 × 95010) / 2
LCM(95002,95010) = 9026140020 / 2
LCM(95002,95010) = 4513070010

Least Common Multiple (LCM) of 95002 and 95010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95002 and 95010. First we will calculate the prime factors of 95002 and 95010.

Prime Factorization of 95002

Prime factors of 95002 are 2, 47501. Prime factorization of 95002 in exponential form is:

95002 = 21 × 475011

Prime Factorization of 95010

Prime factors of 95010 are 2, 3, 5, 3167. Prime factorization of 95010 in exponential form is:

95010 = 21 × 31 × 51 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 95002 and 95010.

LCM(95002,95010) = 21 × 475011 × 31 × 51 × 31671
LCM(95002,95010) = 4513070010