What is the Least Common Multiple of 74808 and 74816?

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 74808 and 74816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74808 and 74816, than apply into the LCM equation.

GCF(74808,74816) = 8
LCM(74808,74816) = ( 74808 × 74816) / 8
LCM(74808,74816) = 5596835328 / 8
LCM(74808,74816) = 699604416

Least Common Multiple (LCM) of 74808 and 74816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74808 and 74816. First we will calculate the prime factors of 74808 and 74816.

Prime Factorization of 74808

Prime Factorization of 74816

Now multiplying the highest exponent prime factors to calculate the LCM of 74808 and 74816.

LCM(74808,74816) = 2⁶ × 3² × 1039¹ × 7¹ × 167¹
LCM(74808,74816) = 699604416