What is the Least Common Multiple of 48525 and 48530?

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 48525 and 48530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48525 and 48530, than apply into the LCM equation.

GCF(48525,48530) = 5
LCM(48525,48530) = ( 48525 × 48530) / 5
LCM(48525,48530) = 2354918250 / 5
LCM(48525,48530) = 470983650

Least Common Multiple (LCM) of 48525 and 48530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48525 and 48530. First we will calculate the prime factors of 48525 and 48530.

Prime Factorization of 48525

Prime Factorization of 48530

Now multiplying the highest exponent prime factors to calculate the LCM of 48525 and 48530.

LCM(48525,48530) = 3¹ × 5² × 647¹ × 2¹ × 23¹ × 211¹
LCM(48525,48530) = 470983650