What is the Least Common Multiple of 98875 and 98880?

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 98880 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 98880, than apply into the LCM equation.

GCF(98875,98880) = 5
LCM(98875,98880) = ( 98875 × 98880) / 5
LCM(98875,98880) = 9776760000 / 5
LCM(98875,98880) = 1955352000

Least Common Multiple (LCM) of 98875 and 98880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98875 and 98880. First we will calculate the prime factors of 98875 and 98880.

Prime Factorization of 98875

Prime Factorization of 98880

Now multiplying the highest exponent prime factors to calculate the LCM of 98875 and 98880.

LCM(98875,98880) = 5³ × 7¹ × 113¹ × 2⁶ × 3¹ × 103¹
LCM(98875,98880) = 1955352000