What is the Least Common Multiple of 72064 and 72076?

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 72064 and 72076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72064 and 72076, than apply into the LCM equation.

GCF(72064,72076) = 4
LCM(72064,72076) = ( 72064 × 72076) / 4
LCM(72064,72076) = 5194084864 / 4
LCM(72064,72076) = 1298521216

Least Common Multiple (LCM) of 72064 and 72076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72064 and 72076. First we will calculate the prime factors of 72064 and 72076.

Prime Factorization of 72064

Prime Factorization of 72076

Now multiplying the highest exponent prime factors to calculate the LCM of 72064 and 72076.

LCM(72064,72076) = 2⁷ × 563¹ × 37¹ × 487¹
LCM(72064,72076) = 1298521216