What is the Least Common Multiple of 98896 and 98903?

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 98896 and 98903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98896 and 98903, than apply into the LCM equation.

GCF(98896,98903) = 7
LCM(98896,98903) = ( 98896 × 98903) / 7
LCM(98896,98903) = 9781111088 / 7
LCM(98896,98903) = 1397301584

Least Common Multiple (LCM) of 98896 and 98903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98896 and 98903. First we will calculate the prime factors of 98896 and 98903.

Prime Factorization of 98896

Prime Factorization of 98903

Now multiplying the highest exponent prime factors to calculate the LCM of 98896 and 98903.

LCM(98896,98903) = 2⁴ × 7¹ × 883¹ × 71¹ × 199¹
LCM(98896,98903) = 1397301584