GCF and LCM Calculator Logo

What is the Least Common Multiple of 7868 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 (LCM) of 7868 and 7875 is 8851500.

LCM(7868,7875) = 8851500

LCM Calculator and
and

Least Common Multiple of 7868 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 7868 and 7875, than apply into the LCM equation.

GCF(7868,7875) = 7
LCM(7868,7875) = ( 7868 × 7875) / 7
LCM(7868,7875) = 61960500 / 7
LCM(7868,7875) = 8851500

Least Common Multiple (LCM) of 7868 and 7875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7868 and 7875. First we will calculate the prime factors of 7868 and 7875.

Prime Factorization of 7868

Prime factors of 7868 are 2, 7, 281. Prime factorization of 7868 in exponential form is:

7868 = 22 × 71 × 2811

Prime Factorization of 7875

Prime factors of 7875 are 3, 5, 7. Prime factorization of 7875 in exponential form is:

7875 = 32 × 53 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 7868 and 7875.

LCM(7868,7875) = 22 × 71 × 2811 × 32 × 53
LCM(7868,7875) = 8851500