What is the Least Common Multiple of 99579 and 99596?

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 99579 and 99596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99579 and 99596, than apply into the LCM equation.

GCF(99579,99596) = 1
LCM(99579,99596) = ( 99579 × 99596) / 1
LCM(99579,99596) = 9917670084 / 1
LCM(99579,99596) = 9917670084

Least Common Multiple (LCM) of 99579 and 99596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99579 and 99596. First we will calculate the prime factors of 99579 and 99596.

Prime Factorization of 99579

Prime Factorization of 99596

Now multiplying the highest exponent prime factors to calculate the LCM of 99579 and 99596.

LCM(99579,99596) = 3¹ × 19¹ × 1747¹ × 2² × 7¹ × 3557¹
LCM(99579,99596) = 9917670084