What is the Least Common Multiple of 73175 and 73190?

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 73175 and 73190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73175 and 73190, than apply into the LCM equation.

GCF(73175,73190) = 5
LCM(73175,73190) = ( 73175 × 73190) / 5
LCM(73175,73190) = 5355678250 / 5
LCM(73175,73190) = 1071135650

Least Common Multiple (LCM) of 73175 and 73190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73175 and 73190. First we will calculate the prime factors of 73175 and 73190.

Prime Factorization of 73175

Prime Factorization of 73190

Now multiplying the highest exponent prime factors to calculate the LCM of 73175 and 73190.

LCM(73175,73190) = 5² × 2927¹ × 2¹ × 13¹ × 563¹
LCM(73175,73190) = 1071135650