What is the Least Common Multiple of 98782 and 98802?

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 98782 and 98802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98782 and 98802, than apply into the LCM equation.

GCF(98782,98802) = 2
LCM(98782,98802) = ( 98782 × 98802) / 2
LCM(98782,98802) = 9759859164 / 2
LCM(98782,98802) = 4879929582

Least Common Multiple (LCM) of 98782 and 98802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98782 and 98802. First we will calculate the prime factors of 98782 and 98802.

Prime Factorization of 98782

Prime Factorization of 98802

Now multiplying the highest exponent prime factors to calculate the LCM of 98782 and 98802.

LCM(98782,98802) = 2¹ × 49391¹ × 3² × 11¹ × 499¹
LCM(98782,98802) = 4879929582