What is the Least Common Multiple of 7896 and 7904?

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 7896 and 7904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7896 and 7904, than apply into the LCM equation.

GCF(7896,7904) = 8
LCM(7896,7904) = ( 7896 × 7904) / 8
LCM(7896,7904) = 62409984 / 8
LCM(7896,7904) = 7801248

Least Common Multiple (LCM) of 7896 and 7904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7896 and 7904. First we will calculate the prime factors of 7896 and 7904.

Prime Factorization of 7896

Prime Factorization of 7904

Now multiplying the highest exponent prime factors to calculate the LCM of 7896 and 7904.

LCM(7896,7904) = 2⁵ × 3¹ × 7¹ × 47¹ × 13¹ × 19¹
LCM(7896,7904) = 7801248