What is the Least Common Multiple of 45066 and 45075?

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 45066 and 45075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45066 and 45075, than apply into the LCM equation.

GCF(45066,45075) = 3
LCM(45066,45075) = ( 45066 × 45075) / 3
LCM(45066,45075) = 2031349950 / 3
LCM(45066,45075) = 677116650

Least Common Multiple (LCM) of 45066 and 45075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45066 and 45075. First we will calculate the prime factors of 45066 and 45075.

Prime Factorization of 45066

Prime Factorization of 45075

Now multiplying the highest exponent prime factors to calculate the LCM of 45066 and 45075.

LCM(45066,45075) = 2¹ × 3¹ × 7¹ × 29¹ × 37¹ × 5² × 601¹
LCM(45066,45075) = 677116650