What is the Least Common Multiple of 98496 and 98504?

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 98504 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 98504, than apply into the LCM equation.

GCF(98496,98504) = 8
LCM(98496,98504) = ( 98496 × 98504) / 8
LCM(98496,98504) = 9702249984 / 8
LCM(98496,98504) = 1212781248

Least Common Multiple (LCM) of 98496 and 98504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98496 and 98504. First we will calculate the prime factors of 98496 and 98504.

Prime Factorization of 98496

Prime Factorization of 98504

Now multiplying the highest exponent prime factors to calculate the LCM of 98496 and 98504.

LCM(98496,98504) = 2⁶ × 3⁴ × 19¹ × 7¹ × 1759¹
LCM(98496,98504) = 1212781248