What is the Least Common Multiple of 45525 and 45533?

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 45525 and 45533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45525 and 45533, than apply into the LCM equation.

GCF(45525,45533) = 1
LCM(45525,45533) = ( 45525 × 45533) / 1
LCM(45525,45533) = 2072889825 / 1
LCM(45525,45533) = 2072889825

Least Common Multiple (LCM) of 45525 and 45533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45525 and 45533. First we will calculate the prime factors of 45525 and 45533.

Prime Factorization of 45525

Prime Factorization of 45533

Now multiplying the highest exponent prime factors to calculate the LCM of 45525 and 45533.

LCM(45525,45533) = 3¹ × 5² × 607¹ × 45533¹
LCM(45525,45533) = 2072889825