What is the Least Common Multiple of 98496 and 98509?

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 98496 and 98509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98496 and 98509, than apply into the LCM equation.

GCF(98496,98509) = 1
LCM(98496,98509) = ( 98496 × 98509) / 1
LCM(98496,98509) = 9702742464 / 1
LCM(98496,98509) = 9702742464

Least Common Multiple (LCM) of 98496 and 98509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98496 and 98509. First we will calculate the prime factors of 98496 and 98509.

Prime Factorization of 98496

Prime Factorization of 98509

Now multiplying the highest exponent prime factors to calculate the LCM of 98496 and 98509.

LCM(98496,98509) = 2⁶ × 3⁴ × 19¹ × 23¹ × 4283¹
LCM(98496,98509) = 9702742464