GCF and LCM Calculator Logo

What is the Least Common Multiple of 95454 and 95473?

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 95454 and 95473 is 9113279742.

LCM(95454,95473) = 9113279742

LCM Calculator and
and

Least Common Multiple of 95454 and 95473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95454 and 95473, than apply into the LCM equation.

GCF(95454,95473) = 1
LCM(95454,95473) = ( 95454 × 95473) / 1
LCM(95454,95473) = 9113279742 / 1
LCM(95454,95473) = 9113279742

Least Common Multiple (LCM) of 95454 and 95473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95454 and 95473. First we will calculate the prime factors of 95454 and 95473.

Prime Factorization of 95454

Prime factors of 95454 are 2, 3, 5303. Prime factorization of 95454 in exponential form is:

95454 = 21 × 32 × 53031

Prime Factorization of 95473

Prime factors of 95473 are 7, 23, 593. Prime factorization of 95473 in exponential form is:

95473 = 71 × 231 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 95454 and 95473.

LCM(95454,95473) = 21 × 32 × 53031 × 71 × 231 × 5931
LCM(95454,95473) = 9113279742