GCF and LCM Calculator Logo

What is the Least Common Multiple of 95035 and 95046?

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 95035 and 95046 is 9032696610.

LCM(95035,95046) = 9032696610

LCM Calculator and
and

Least Common Multiple of 95035 and 95046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95035 and 95046, than apply into the LCM equation.

GCF(95035,95046) = 1
LCM(95035,95046) = ( 95035 × 95046) / 1
LCM(95035,95046) = 9032696610 / 1
LCM(95035,95046) = 9032696610

Least Common Multiple (LCM) of 95035 and 95046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95035 and 95046. First we will calculate the prime factors of 95035 and 95046.

Prime Factorization of 95035

Prime factors of 95035 are 5, 83, 229. Prime factorization of 95035 in exponential form is:

95035 = 51 × 831 × 2291

Prime Factorization of 95046

Prime factors of 95046 are 2, 3, 7, 31, 73. Prime factorization of 95046 in exponential form is:

95046 = 21 × 31 × 71 × 311 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 95035 and 95046.

LCM(95035,95046) = 51 × 831 × 2291 × 21 × 31 × 71 × 311 × 731
LCM(95035,95046) = 9032696610