What is the Least Common Multiple of 7304 and 7312?

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 7304 and 7312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7304 and 7312, than apply into the LCM equation.

GCF(7304,7312) = 8
LCM(7304,7312) = ( 7304 × 7312) / 8
LCM(7304,7312) = 53406848 / 8
LCM(7304,7312) = 6675856

Least Common Multiple (LCM) of 7304 and 7312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7304 and 7312. First we will calculate the prime factors of 7304 and 7312.

Prime Factorization of 7304

Prime Factorization of 7312

Now multiplying the highest exponent prime factors to calculate the LCM of 7304 and 7312.

LCM(7304,7312) = 2⁴ × 11¹ × 83¹ × 457¹
LCM(7304,7312) = 6675856