What is the Least Common Multiple of 98490 and 98496?

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 98490 and 98496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98490 and 98496, than apply into the LCM equation.

GCF(98490,98496) = 6
LCM(98490,98496) = ( 98490 × 98496) / 6
LCM(98490,98496) = 9700871040 / 6
LCM(98490,98496) = 1616811840

Least Common Multiple (LCM) of 98490 and 98496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98490 and 98496. First we will calculate the prime factors of 98490 and 98496.

Prime Factorization of 98490

Prime Factorization of 98496

Now multiplying the highest exponent prime factors to calculate the LCM of 98490 and 98496.

LCM(98490,98496) = 2⁶ × 3⁴ × 5¹ × 7² × 67¹ × 19¹
LCM(98490,98496) = 1616811840