What is the Least Common Multiple of 98758 and 98773?

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 98758 and 98773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98758 and 98773, than apply into the LCM equation.

GCF(98758,98773) = 1
LCM(98758,98773) = ( 98758 × 98773) / 1
LCM(98758,98773) = 9754623934 / 1
LCM(98758,98773) = 9754623934

Least Common Multiple (LCM) of 98758 and 98773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98758 and 98773. First we will calculate the prime factors of 98758 and 98773.

Prime Factorization of 98758

Prime Factorization of 98773

Now multiplying the highest exponent prime factors to calculate the LCM of 98758 and 98773.

LCM(98758,98773) = 2¹ × 11¹ × 67² × 98773¹
LCM(98758,98773) = 9754623934