What is the Least Common Multiple of 7875 and 7884?

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 7875 and 7884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7875 and 7884, than apply into the LCM equation.

GCF(7875,7884) = 9
LCM(7875,7884) = ( 7875 × 7884) / 9
LCM(7875,7884) = 62086500 / 9
LCM(7875,7884) = 6898500

Least Common Multiple (LCM) of 7875 and 7884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7875 and 7884. First we will calculate the prime factors of 7875 and 7884.

Prime Factorization of 7875

Prime Factorization of 7884

Now multiplying the highest exponent prime factors to calculate the LCM of 7875 and 7884.

LCM(7875,7884) = 3³ × 5³ × 7¹ × 2² × 73¹
LCM(7875,7884) = 6898500