What is the Least Common Multiple of 7904 and 7920?

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 7904 and 7920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7904 and 7920, than apply into the LCM equation.

GCF(7904,7920) = 16
LCM(7904,7920) = ( 7904 × 7920) / 16
LCM(7904,7920) = 62599680 / 16
LCM(7904,7920) = 3912480

Least Common Multiple (LCM) of 7904 and 7920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7904 and 7920. First we will calculate the prime factors of 7904 and 7920.

Prime Factorization of 7904

Prime Factorization of 7920

Now multiplying the highest exponent prime factors to calculate the LCM of 7904 and 7920.

LCM(7904,7920) = 2⁵ × 13¹ × 19¹ × 3² × 5¹ × 11¹
LCM(7904,7920) = 3912480