GCF and LCM Calculator Logo

What is the Least Common Multiple of 7850 and 7856?

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 7850 and 7856 is 30834800.

LCM(7850,7856) = 30834800

LCM Calculator and
and

Least Common Multiple of 7850 and 7856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7850 and 7856, than apply into the LCM equation.

GCF(7850,7856) = 2
LCM(7850,7856) = ( 7850 × 7856) / 2
LCM(7850,7856) = 61669600 / 2
LCM(7850,7856) = 30834800

Least Common Multiple (LCM) of 7850 and 7856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7850 and 7856. First we will calculate the prime factors of 7850 and 7856.

Prime Factorization of 7850

Prime factors of 7850 are 2, 5, 157. Prime factorization of 7850 in exponential form is:

7850 = 21 × 52 × 1571

Prime Factorization of 7856

Prime factors of 7856 are 2, 491. Prime factorization of 7856 in exponential form is:

7856 = 24 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 7850 and 7856.

LCM(7850,7856) = 24 × 52 × 1571 × 4911
LCM(7850,7856) = 30834800