What is the Least Common Multiple of 75024 and 75034?

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 75024 and 75034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75024 and 75034, than apply into the LCM equation.

GCF(75024,75034) = 2
LCM(75024,75034) = ( 75024 × 75034) / 2
LCM(75024,75034) = 5629350816 / 2
LCM(75024,75034) = 2814675408

Least Common Multiple (LCM) of 75024 and 75034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75024 and 75034. First we will calculate the prime factors of 75024 and 75034.

Prime Factorization of 75024

Prime Factorization of 75034

Now multiplying the highest exponent prime factors to calculate the LCM of 75024 and 75034.

LCM(75024,75034) = 2⁴ × 3² × 521¹ × 37517¹
LCM(75024,75034) = 2814675408