What is the Least Common Multiple of 98816 and 98827?

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 98816 and 98827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98816 and 98827, than apply into the LCM equation.

GCF(98816,98827) = 1
LCM(98816,98827) = ( 98816 × 98827) / 1
LCM(98816,98827) = 9765688832 / 1
LCM(98816,98827) = 9765688832

Least Common Multiple (LCM) of 98816 and 98827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98816 and 98827. First we will calculate the prime factors of 98816 and 98827.

Prime Factorization of 98816

Prime Factorization of 98827

Now multiplying the highest exponent prime factors to calculate the LCM of 98816 and 98827.

LCM(98816,98827) = 2⁹ × 193¹ × 37¹ × 2671¹
LCM(98816,98827) = 9765688832