What is the Least Common Multiple of 7900 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 7900 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 7900 and 7904, than apply into the LCM equation.

GCF(7900,7904) = 4
LCM(7900,7904) = ( 7900 × 7904) / 4
LCM(7900,7904) = 62441600 / 4
LCM(7900,7904) = 15610400

Least Common Multiple (LCM) of 7900 and 7904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7900 and 7904. First we will calculate the prime factors of 7900 and 7904.

Prime Factorization of 7900

Prime Factorization of 7904

Now multiplying the highest exponent prime factors to calculate the LCM of 7900 and 7904.

LCM(7900,7904) = 2⁵ × 5² × 79¹ × 13¹ × 19¹
LCM(7900,7904) = 15610400