What is the Least Common Multiple of 78889 and 78904?

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 78889 and 78904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78889 and 78904, than apply into the LCM equation.

GCF(78889,78904) = 1
LCM(78889,78904) = ( 78889 × 78904) / 1
LCM(78889,78904) = 6224657656 / 1
LCM(78889,78904) = 6224657656

Least Common Multiple (LCM) of 78889 and 78904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78889 and 78904. First we will calculate the prime factors of 78889 and 78904.

Prime Factorization of 78889

Prime Factorization of 78904

Now multiplying the highest exponent prime factors to calculate the LCM of 78889 and 78904.

LCM(78889,78904) = 78889¹ × 2³ × 7¹ × 1409¹
LCM(78889,78904) = 6224657656