What is the Least Common Multiple of 98723 and 98736?

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 98723 and 98736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98723 and 98736, than apply into the LCM equation.

GCF(98723,98736) = 1
LCM(98723,98736) = ( 98723 × 98736) / 1
LCM(98723,98736) = 9747514128 / 1
LCM(98723,98736) = 9747514128

Least Common Multiple (LCM) of 98723 and 98736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98723 and 98736. First we will calculate the prime factors of 98723 and 98736.

Prime Factorization of 98723

Prime Factorization of 98736

Now multiplying the highest exponent prime factors to calculate the LCM of 98723 and 98736.

LCM(98723,98736) = 269¹ × 367¹ × 2⁴ × 3¹ × 11² × 17¹
LCM(98723,98736) = 9747514128