What is the Least Common Multiple of 7857 and 7875?

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 7857 and 7875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7857 and 7875, than apply into the LCM equation.

GCF(7857,7875) = 9
LCM(7857,7875) = ( 7857 × 7875) / 9
LCM(7857,7875) = 61873875 / 9
LCM(7857,7875) = 6874875

Least Common Multiple (LCM) of 7857 and 7875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7857 and 7875. First we will calculate the prime factors of 7857 and 7875.

Prime Factorization of 7857

Prime Factorization of 7875

Now multiplying the highest exponent prime factors to calculate the LCM of 7857 and 7875.

LCM(7857,7875) = 3⁴ × 97¹ × 5³ × 7¹
LCM(7857,7875) = 6874875