What is the Least Common Multiple of 99693 and 99697?

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 99693 and 99697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99693 and 99697, than apply into the LCM equation.

GCF(99693,99697) = 1
LCM(99693,99697) = ( 99693 × 99697) / 1
LCM(99693,99697) = 9939093021 / 1
LCM(99693,99697) = 9939093021

Least Common Multiple (LCM) of 99693 and 99697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99693 and 99697. First we will calculate the prime factors of 99693 and 99697.

Prime Factorization of 99693

Prime Factorization of 99697

Now multiplying the highest exponent prime factors to calculate the LCM of 99693 and 99697.

LCM(99693,99697) = 3² × 11¹ × 19¹ × 53¹ × 13¹ × 7669¹
LCM(99693,99697) = 9939093021