What is the Least Common Multiple of 98784 and 98798?

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 98784 and 98798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98784 and 98798, than apply into the LCM equation.

GCF(98784,98798) = 14
LCM(98784,98798) = ( 98784 × 98798) / 14
LCM(98784,98798) = 9759661632 / 14
LCM(98784,98798) = 697118688

Least Common Multiple (LCM) of 98784 and 98798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98784 and 98798. First we will calculate the prime factors of 98784 and 98798.

Prime Factorization of 98784

Prime Factorization of 98798

Now multiplying the highest exponent prime factors to calculate the LCM of 98784 and 98798.

LCM(98784,98798) = 2⁵ × 3² × 7³ × 7057¹
LCM(98784,98798) = 697118688