What is the Least Common Multiple of 73475 and 73484?

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 73484 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 73484, than apply into the LCM equation.

GCF(73475,73484) = 1
LCM(73475,73484) = ( 73475 × 73484) / 1
LCM(73475,73484) = 5399236900 / 1
LCM(73475,73484) = 5399236900

Least Common Multiple (LCM) of 73475 and 73484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73475 and 73484. First we will calculate the prime factors of 73475 and 73484.

Prime Factorization of 73475

Prime Factorization of 73484

Now multiplying the highest exponent prime factors to calculate the LCM of 73475 and 73484.

LCM(73475,73484) = 5² × 2939¹ × 2² × 18371¹
LCM(73475,73484) = 5399236900