What is the Least Common Multiple of 98732 and 98747?

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 98732 and 98747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98732 and 98747, than apply into the LCM equation.

GCF(98732,98747) = 1
LCM(98732,98747) = ( 98732 × 98747) / 1
LCM(98732,98747) = 9749488804 / 1
LCM(98732,98747) = 9749488804

Least Common Multiple (LCM) of 98732 and 98747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98732 and 98747. First we will calculate the prime factors of 98732 and 98747.

Prime Factorization of 98732

Prime Factorization of 98747

Now multiplying the highest exponent prime factors to calculate the LCM of 98732 and 98747.

LCM(98732,98747) = 2² × 24683¹ × 11¹ × 47¹ × 191¹
LCM(98732,98747) = 9749488804