What is the Least Common Multiple of 97875 and 97884?

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 97875 and 97884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97875 and 97884, than apply into the LCM equation.

GCF(97875,97884) = 9
LCM(97875,97884) = ( 97875 × 97884) / 9
LCM(97875,97884) = 9580396500 / 9
LCM(97875,97884) = 1064488500

Least Common Multiple (LCM) of 97875 and 97884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97875 and 97884. First we will calculate the prime factors of 97875 and 97884.

Prime Factorization of 97875

Prime Factorization of 97884

Now multiplying the highest exponent prime factors to calculate the LCM of 97875 and 97884.

LCM(97875,97884) = 3³ × 5³ × 29¹ × 2² × 2719¹
LCM(97875,97884) = 1064488500