What is the Least Common Multiple of 45513 and 45530?

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 45513 and 45530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45513 and 45530, than apply into the LCM equation.

GCF(45513,45530) = 1
LCM(45513,45530) = ( 45513 × 45530) / 1
LCM(45513,45530) = 2072206890 / 1
LCM(45513,45530) = 2072206890

Least Common Multiple (LCM) of 45513 and 45530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45513 and 45530. First we will calculate the prime factors of 45513 and 45530.

Prime Factorization of 45513

Prime Factorization of 45530

Now multiplying the highest exponent prime factors to calculate the LCM of 45513 and 45530.

LCM(45513,45530) = 3² × 13¹ × 389¹ × 2¹ × 5¹ × 29¹ × 157¹
LCM(45513,45530) = 2072206890