What is the Least Common Multiple of 99659 and 99666?

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 99659 and 99666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99659 and 99666, than apply into the LCM equation.

GCF(99659,99666) = 7
LCM(99659,99666) = ( 99659 × 99666) / 7
LCM(99659,99666) = 9932613894 / 7
LCM(99659,99666) = 1418944842

Least Common Multiple (LCM) of 99659 and 99666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99659 and 99666. First we will calculate the prime factors of 99659 and 99666.

Prime Factorization of 99659

Prime Factorization of 99666

Now multiplying the highest exponent prime factors to calculate the LCM of 99659 and 99666.

LCM(99659,99666) = 7² × 23¹ × 619¹ × 2¹ × 3² × 113¹
LCM(99659,99666) = 1418944842