What is the Least Common Multiple of 98736 and 98753?

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 98736 and 98753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98736 and 98753, than apply into the LCM equation.

GCF(98736,98753) = 17
LCM(98736,98753) = ( 98736 × 98753) / 17
LCM(98736,98753) = 9750476208 / 17
LCM(98736,98753) = 573557424

Least Common Multiple (LCM) of 98736 and 98753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98736 and 98753. First we will calculate the prime factors of 98736 and 98753.

Prime Factorization of 98736

Prime Factorization of 98753

Now multiplying the highest exponent prime factors to calculate the LCM of 98736 and 98753.

LCM(98736,98753) = 2⁴ × 3¹ × 11² × 17¹ × 37¹ × 157¹
LCM(98736,98753) = 573557424