What is the Least Common Multiple of 7851 and 7869?

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 7851 and 7869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7851 and 7869, than apply into the LCM equation.

GCF(7851,7869) = 3
LCM(7851,7869) = ( 7851 × 7869) / 3
LCM(7851,7869) = 61779519 / 3
LCM(7851,7869) = 20593173

Least Common Multiple (LCM) of 7851 and 7869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7851 and 7869. First we will calculate the prime factors of 7851 and 7869.

Prime Factorization of 7851

Prime Factorization of 7869

Now multiplying the highest exponent prime factors to calculate the LCM of 7851 and 7869.

LCM(7851,7869) = 3¹ × 2617¹ × 43¹ × 61¹
LCM(7851,7869) = 20593173