What is the Least Common Multiple of 88893 and 88903?

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 of 88893 and 88903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88893 and 88903, than apply into the LCM equation.

GCF(88893,88903) = 1
LCM(88893,88903) = ( 88893 × 88903) / 1
LCM(88893,88903) = 7902854379 / 1
LCM(88893,88903) = 7902854379

Least Common Multiple (LCM) of 88893 and 88903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88893 and 88903. First we will calculate the prime factors of 88893 and 88903.

Prime Factorization of 88893

Prime Factorization of 88903

Now multiplying the highest exponent prime factors to calculate the LCM of 88893 and 88903.

LCM(88893,88903) = 3² × 7¹ × 17¹ × 83¹ × 88903¹
LCM(88893,88903) = 7902854379