What is the Least Common Multiple of 98705 and 98718?

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 98705 and 98718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98705 and 98718, than apply into the LCM equation.

GCF(98705,98718) = 1
LCM(98705,98718) = ( 98705 × 98718) / 1
LCM(98705,98718) = 9743960190 / 1
LCM(98705,98718) = 9743960190

Least Common Multiple (LCM) of 98705 and 98718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98705 and 98718. First we will calculate the prime factors of 98705 and 98718.

Prime Factorization of 98705

Prime Factorization of 98718

Now multiplying the highest exponent prime factors to calculate the LCM of 98705 and 98718.

LCM(98705,98718) = 5¹ × 19¹ × 1039¹ × 2¹ × 3¹ × 16453¹
LCM(98705,98718) = 9743960190