What is the Least Common Multiple of 98556 and 98573?

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 98556 and 98573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98556 and 98573, than apply into the LCM equation.

GCF(98556,98573) = 1
LCM(98556,98573) = ( 98556 × 98573) / 1
LCM(98556,98573) = 9714960588 / 1
LCM(98556,98573) = 9714960588

Least Common Multiple (LCM) of 98556 and 98573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98556 and 98573. First we will calculate the prime factors of 98556 and 98573.

Prime Factorization of 98556

Prime Factorization of 98573

Now multiplying the highest exponent prime factors to calculate the LCM of 98556 and 98573.

LCM(98556,98573) = 2² × 3¹ × 43¹ × 191¹ × 98573¹
LCM(98556,98573) = 9714960588