What is the Least Common Multiple of 75308 and 75328?

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 75308 and 75328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75308 and 75328, than apply into the LCM equation.

GCF(75308,75328) = 4
LCM(75308,75328) = ( 75308 × 75328) / 4
LCM(75308,75328) = 5672801024 / 4
LCM(75308,75328) = 1418200256

Least Common Multiple (LCM) of 75308 and 75328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75308 and 75328. First we will calculate the prime factors of 75308 and 75328.

Prime Factorization of 75308

Prime Factorization of 75328

Now multiplying the highest exponent prime factors to calculate the LCM of 75308 and 75328.

LCM(75308,75328) = 2⁶ × 67¹ × 281¹ × 11¹ × 107¹
LCM(75308,75328) = 1418200256