What is the Least Common Multiple of 75804 and 75824?

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 75804 and 75824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75804 and 75824, than apply into the LCM equation.

GCF(75804,75824) = 4
LCM(75804,75824) = ( 75804 × 75824) / 4
LCM(75804,75824) = 5747762496 / 4
LCM(75804,75824) = 1436940624

Least Common Multiple (LCM) of 75804 and 75824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75804 and 75824. First we will calculate the prime factors of 75804 and 75824.

Prime Factorization of 75804

Prime Factorization of 75824

Now multiplying the highest exponent prime factors to calculate the LCM of 75804 and 75824.

LCM(75804,75824) = 2⁴ × 3¹ × 6317¹ × 7¹ × 677¹
LCM(75804,75824) = 1436940624