What is the Least Common Multiple of 75024 and 75037?

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 75037 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 75037, than apply into the LCM equation.

GCF(75024,75037) = 1
LCM(75024,75037) = ( 75024 × 75037) / 1
LCM(75024,75037) = 5629575888 / 1
LCM(75024,75037) = 5629575888

Least Common Multiple (LCM) of 75024 and 75037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75024 and 75037. First we will calculate the prime factors of 75024 and 75037.

Prime Factorization of 75024

Prime Factorization of 75037

Now multiplying the highest exponent prime factors to calculate the LCM of 75024 and 75037.

LCM(75024,75037) = 2⁴ × 3² × 521¹ × 75037¹
LCM(75024,75037) = 5629575888