GCF and LCM Calculator Logo

What is the Least Common Multiple of 94829 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 94829 and 94849 is 8994435821.

LCM(94829,94849) = 8994435821

LCM Calculator and
and

Least Common Multiple of 94829 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 94829 and 94849, than apply into the LCM equation.

GCF(94829,94849) = 1
LCM(94829,94849) = ( 94829 × 94849) / 1
LCM(94829,94849) = 8994435821 / 1
LCM(94829,94849) = 8994435821

Least Common Multiple (LCM) of 94829 and 94849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94829 and 94849. First we will calculate the prime factors of 94829 and 94849.

Prime Factorization of 94829

Prime factors of 94829 are 7, 19, 23, 31. Prime factorization of 94829 in exponential form is:

94829 = 71 × 191 × 231 × 311

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 94829 and 94849.

LCM(94829,94849) = 71 × 191 × 231 × 311 × 948491
LCM(94829,94849) = 8994435821