What is the Least Common Multiple of 98698 and 98703?

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 98698 and 98703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98698 and 98703, than apply into the LCM equation.

GCF(98698,98703) = 1
LCM(98698,98703) = ( 98698 × 98703) / 1
LCM(98698,98703) = 9741788694 / 1
LCM(98698,98703) = 9741788694

Least Common Multiple (LCM) of 98698 and 98703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98698 and 98703. First we will calculate the prime factors of 98698 and 98703.

Prime Factorization of 98698

Prime Factorization of 98703

Now multiplying the highest exponent prime factors to calculate the LCM of 98698 and 98703.

LCM(98698,98703) = 2¹ × 61¹ × 809¹ × 3² × 11¹ × 997¹
LCM(98698,98703) = 9741788694