What is the Least Common Multiple of 98875 and 98883?

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 98875 and 98883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98875 and 98883, than apply into the LCM equation.

GCF(98875,98883) = 1
LCM(98875,98883) = ( 98875 × 98883) / 1
LCM(98875,98883) = 9777056625 / 1
LCM(98875,98883) = 9777056625

Least Common Multiple (LCM) of 98875 and 98883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98875 and 98883. First we will calculate the prime factors of 98875 and 98883.

Prime Factorization of 98875

Prime Factorization of 98883

Now multiplying the highest exponent prime factors to calculate the LCM of 98875 and 98883.

LCM(98875,98883) = 5³ × 7¹ × 113¹ × 3² × 10987¹
LCM(98875,98883) = 9777056625