What is the Least Common Multiple of 75075 and 75089?

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 75075 and 75089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75075 and 75089, than apply into the LCM equation.

GCF(75075,75089) = 7
LCM(75075,75089) = ( 75075 × 75089) / 7
LCM(75075,75089) = 5637306675 / 7
LCM(75075,75089) = 805329525

Least Common Multiple (LCM) of 75075 and 75089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75075 and 75089. First we will calculate the prime factors of 75075 and 75089.

Prime Factorization of 75075

Prime Factorization of 75089

Now multiplying the highest exponent prime factors to calculate the LCM of 75075 and 75089.

LCM(75075,75089) = 3¹ × 5² × 7¹ × 11¹ × 13¹ × 17¹ × 631¹
LCM(75075,75089) = 805329525