What is the Least Common Multiple of 73568 and 73576?

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 73568 and 73576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73568 and 73576, than apply into the LCM equation.

GCF(73568,73576) = 8
LCM(73568,73576) = ( 73568 × 73576) / 8
LCM(73568,73576) = 5412839168 / 8
LCM(73568,73576) = 676604896

Least Common Multiple (LCM) of 73568 and 73576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73568 and 73576. First we will calculate the prime factors of 73568 and 73576.

Prime Factorization of 73568

Prime Factorization of 73576

Now multiplying the highest exponent prime factors to calculate the LCM of 73568 and 73576.

LCM(73568,73576) = 2⁵ × 11² × 19¹ × 17¹ × 541¹
LCM(73568,73576) = 676604896