What is the Least Common Multiple of 72064 and 72075?

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 72075 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 72075, than apply into the LCM equation.

GCF(72064,72075) = 1
LCM(72064,72075) = ( 72064 × 72075) / 1
LCM(72064,72075) = 5194012800 / 1
LCM(72064,72075) = 5194012800

Least Common Multiple (LCM) of 72064 and 72075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72064 and 72075. First we will calculate the prime factors of 72064 and 72075.

Prime Factorization of 72064

Prime Factorization of 72075

Now multiplying the highest exponent prime factors to calculate the LCM of 72064 and 72075.

LCM(72064,72075) = 2⁷ × 563¹ × 3¹ × 5² × 31²
LCM(72064,72075) = 5194012800