GCF and LCM Calculator Logo

What is the Least Common Multiple of 94835 and 94849?

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 94835 and 94849 is 8995004915.

LCM(94835,94849) = 8995004915

LCM Calculator and
and

Least Common Multiple of 94835 and 94849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94835 and 94849, than apply into the LCM equation.

GCF(94835,94849) = 1
LCM(94835,94849) = ( 94835 × 94849) / 1
LCM(94835,94849) = 8995004915 / 1
LCM(94835,94849) = 8995004915

Least Common Multiple (LCM) of 94835 and 94849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94835 and 94849. First we will calculate the prime factors of 94835 and 94849.

Prime Factorization of 94835

Prime factors of 94835 are 5, 13, 1459. Prime factorization of 94835 in exponential form is:

94835 = 51 × 131 × 14591

Prime Factorization of 94849

Prime factors of 94849 are 94849. Prime factorization of 94849 in exponential form is:

94849 = 948491

Now multiplying the highest exponent prime factors to calculate the LCM of 94835 and 94849.

LCM(94835,94849) = 51 × 131 × 14591 × 948491
LCM(94835,94849) = 8995004915