What is the Least Common Multiple of 75045 and 75052?

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 75045 and 75052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75045 and 75052, than apply into the LCM equation.

GCF(75045,75052) = 1
LCM(75045,75052) = ( 75045 × 75052) / 1
LCM(75045,75052) = 5632277340 / 1
LCM(75045,75052) = 5632277340

Least Common Multiple (LCM) of 75045 and 75052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75045 and 75052. First we will calculate the prime factors of 75045 and 75052.

Prime Factorization of 75045

Prime Factorization of 75052

Now multiplying the highest exponent prime factors to calculate the LCM of 75045 and 75052.

LCM(75045,75052) = 3¹ × 5¹ × 5003¹ × 2² × 29¹ × 647¹
LCM(75045,75052) = 5632277340