What is the Least Common Multiple of 98912 and 98916?

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 98912 and 98916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98912 and 98916, than apply into the LCM equation.

GCF(98912,98916) = 4
LCM(98912,98916) = ( 98912 × 98916) / 4
LCM(98912,98916) = 9783979392 / 4
LCM(98912,98916) = 2445994848

Least Common Multiple (LCM) of 98912 and 98916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98912 and 98916. First we will calculate the prime factors of 98912 and 98916.

Prime Factorization of 98912

Prime Factorization of 98916

Now multiplying the highest exponent prime factors to calculate the LCM of 98912 and 98916.

LCM(98912,98916) = 2⁵ × 11¹ × 281¹ × 3¹ × 8243¹
LCM(98912,98916) = 2445994848