What is the Least Common Multiple of 98736 and 98750?

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 98750 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 98750, than apply into the LCM equation.

GCF(98736,98750) = 2
LCM(98736,98750) = ( 98736 × 98750) / 2
LCM(98736,98750) = 9750180000 / 2
LCM(98736,98750) = 4875090000

Least Common Multiple (LCM) of 98736 and 98750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98736 and 98750. First we will calculate the prime factors of 98736 and 98750.

Prime Factorization of 98736

Prime Factorization of 98750

Now multiplying the highest exponent prime factors to calculate the LCM of 98736 and 98750.

LCM(98736,98750) = 2⁴ × 3¹ × 11² × 17¹ × 5⁴ × 79¹
LCM(98736,98750) = 4875090000