GCF and LCM Calculator Logo

What is the Least Common Multiple of 95130 and 95141?

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 95130 and 95141 is 9050763330.

LCM(95130,95141) = 9050763330

LCM Calculator and
and

Least Common Multiple of 95130 and 95141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95130 and 95141, than apply into the LCM equation.

GCF(95130,95141) = 1
LCM(95130,95141) = ( 95130 × 95141) / 1
LCM(95130,95141) = 9050763330 / 1
LCM(95130,95141) = 9050763330

Least Common Multiple (LCM) of 95130 and 95141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95130 and 95141. First we will calculate the prime factors of 95130 and 95141.

Prime Factorization of 95130

Prime factors of 95130 are 2, 3, 5, 7, 151. Prime factorization of 95130 in exponential form is:

95130 = 21 × 32 × 51 × 71 × 1511

Prime Factorization of 95141

Prime factors of 95141 are 89, 1069. Prime factorization of 95141 in exponential form is:

95141 = 891 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 95130 and 95141.

LCM(95130,95141) = 21 × 32 × 51 × 71 × 1511 × 891 × 10691
LCM(95130,95141) = 9050763330