What is the Least Common Multiple of 84893 and 84899?

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 84893 and 84899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84893 and 84899, than apply into the LCM equation.

GCF(84893,84899) = 1
LCM(84893,84899) = ( 84893 × 84899) / 1
LCM(84893,84899) = 7207330807 / 1
LCM(84893,84899) = 7207330807

Least Common Multiple (LCM) of 84893 and 84899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84893 and 84899. First we will calculate the prime factors of 84893 and 84899.

Prime Factorization of 84893

Prime Factorization of 84899

Now multiplying the highest exponent prime factors to calculate the LCM of 84893 and 84899.

LCM(84893,84899) = 23¹ × 3691¹ × 73¹ × 1163¹
LCM(84893,84899) = 7207330807