What is the Least Common Multiple of 75504 and 75512?

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 75504 and 75512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75504 and 75512, than apply into the LCM equation.

GCF(75504,75512) = 8
LCM(75504,75512) = ( 75504 × 75512) / 8
LCM(75504,75512) = 5701458048 / 8
LCM(75504,75512) = 712682256

Least Common Multiple (LCM) of 75504 and 75512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75504 and 75512. First we will calculate the prime factors of 75504 and 75512.

Prime Factorization of 75504

Prime Factorization of 75512

Now multiplying the highest exponent prime factors to calculate the LCM of 75504 and 75512.

LCM(75504,75512) = 2⁴ × 3¹ × 11² × 13¹ × 9439¹
LCM(75504,75512) = 712682256