What is the Least Common Multiple of 74032 and 74047?

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 74032 and 74047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74032 and 74047, than apply into the LCM equation.

GCF(74032,74047) = 1
LCM(74032,74047) = ( 74032 × 74047) / 1
LCM(74032,74047) = 5481847504 / 1
LCM(74032,74047) = 5481847504

Least Common Multiple (LCM) of 74032 and 74047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74032 and 74047. First we will calculate the prime factors of 74032 and 74047.

Prime Factorization of 74032

Prime Factorization of 74047

Now multiplying the highest exponent prime factors to calculate the LCM of 74032 and 74047.

LCM(74032,74047) = 2⁴ × 7¹ × 661¹ × 74047¹
LCM(74032,74047) = 5481847504