What is the Least Common Multiple of 75039 and 75045?

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 75039 and 75045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75039 and 75045, than apply into the LCM equation.

GCF(75039,75045) = 3
LCM(75039,75045) = ( 75039 × 75045) / 3
LCM(75039,75045) = 5631301755 / 3
LCM(75039,75045) = 1877100585

Least Common Multiple (LCM) of 75039 and 75045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75039 and 75045. First we will calculate the prime factors of 75039 and 75045.

Prime Factorization of 75039

Prime Factorization of 75045

Now multiplying the highest exponent prime factors to calculate the LCM of 75039 and 75045.

LCM(75039,75045) = 3¹ × 25013¹ × 5¹ × 5003¹
LCM(75039,75045) = 1877100585