What is the Least Common Multiple of 74064 and 74072?

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 74072 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 74072, than apply into the LCM equation.

GCF(74064,74072) = 8
LCM(74064,74072) = ( 74064 × 74072) / 8
LCM(74064,74072) = 5486068608 / 8
LCM(74064,74072) = 685758576

Least Common Multiple (LCM) of 74064 and 74072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74064 and 74072. First we will calculate the prime factors of 74064 and 74072.

Prime Factorization of 74064

Prime Factorization of 74072

Now multiplying the highest exponent prime factors to calculate the LCM of 74064 and 74072.

LCM(74064,74072) = 2⁴ × 3¹ × 1543¹ × 47¹ × 197¹
LCM(74064,74072) = 685758576