What is the Least Common Multiple of 73475 and 73493?

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 73475 and 73493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73475 and 73493, than apply into the LCM equation.

GCF(73475,73493) = 1
LCM(73475,73493) = ( 73475 × 73493) / 1
LCM(73475,73493) = 5399898175 / 1
LCM(73475,73493) = 5399898175

Least Common Multiple (LCM) of 73475 and 73493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73475 and 73493. First we will calculate the prime factors of 73475 and 73493.

Prime Factorization of 73475

Prime Factorization of 73493

Now multiplying the highest exponent prime factors to calculate the LCM of 73475 and 73493.

LCM(73475,73493) = 5² × 2939¹ × 7¹ × 10499¹
LCM(73475,73493) = 5399898175