What is the Least Common Multiple of 98549 and 98554?

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 98549 and 98554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98549 and 98554, than apply into the LCM equation.

GCF(98549,98554) = 1
LCM(98549,98554) = ( 98549 × 98554) / 1
LCM(98549,98554) = 9712398146 / 1
LCM(98549,98554) = 9712398146

Least Common Multiple (LCM) of 98549 and 98554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98549 and 98554. First we will calculate the prime factors of 98549 and 98554.

Prime Factorization of 98549

Prime Factorization of 98554

Now multiplying the highest exponent prime factors to calculate the LCM of 98549 and 98554.

LCM(98549,98554) = 11¹ × 17² × 31¹ × 2¹ × 49277¹
LCM(98549,98554) = 9712398146