What is the Least Common Multiple of 45504 and 45523?

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 45504 and 45523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45504 and 45523, than apply into the LCM equation.

GCF(45504,45523) = 1
LCM(45504,45523) = ( 45504 × 45523) / 1
LCM(45504,45523) = 2071478592 / 1
LCM(45504,45523) = 2071478592

Least Common Multiple (LCM) of 45504 and 45523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45504 and 45523. First we will calculate the prime factors of 45504 and 45523.

Prime Factorization of 45504

Prime Factorization of 45523

Now multiplying the highest exponent prime factors to calculate the LCM of 45504 and 45523.

LCM(45504,45523) = 2⁶ × 3² × 79¹ × 45523¹
LCM(45504,45523) = 2071478592