What is the Least Common Multiple of 74024 and 74032?

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 74024 and 74032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74024 and 74032, than apply into the LCM equation.

GCF(74024,74032) = 8
LCM(74024,74032) = ( 74024 × 74032) / 8
LCM(74024,74032) = 5480144768 / 8
LCM(74024,74032) = 685018096

Least Common Multiple (LCM) of 74024 and 74032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74024 and 74032. First we will calculate the prime factors of 74024 and 74032.

Prime Factorization of 74024

Prime Factorization of 74032

Now multiplying the highest exponent prime factors to calculate the LCM of 74024 and 74032.

LCM(74024,74032) = 2⁴ × 19¹ × 487¹ × 7¹ × 661¹
LCM(74024,74032) = 685018096