What is the Least Common Multiple of 74064 and 74076?

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 74064 and 74076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74064 and 74076, than apply into the LCM equation.

GCF(74064,74076) = 12
LCM(74064,74076) = ( 74064 × 74076) / 12
LCM(74064,74076) = 5486364864 / 12
LCM(74064,74076) = 457197072

Least Common Multiple (LCM) of 74064 and 74076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74064 and 74076. First we will calculate the prime factors of 74064 and 74076.

Prime Factorization of 74064

Prime Factorization of 74076

Now multiplying the highest exponent prime factors to calculate the LCM of 74064 and 74076.

LCM(74064,74076) = 2⁴ × 3¹ × 1543¹ × 6173¹
LCM(74064,74076) = 457197072