What is the Least Common Multiple of 45084 and 45103?

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 45084 and 45103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45084 and 45103, than apply into the LCM equation.

GCF(45084,45103) = 1
LCM(45084,45103) = ( 45084 × 45103) / 1
LCM(45084,45103) = 2033423652 / 1
LCM(45084,45103) = 2033423652

Least Common Multiple (LCM) of 45084 and 45103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45084 and 45103. First we will calculate the prime factors of 45084 and 45103.

Prime Factorization of 45084

Prime Factorization of 45103

Now multiplying the highest exponent prime factors to calculate the LCM of 45084 and 45103.

LCM(45084,45103) = 2² × 3¹ × 13¹ × 17² × 23¹ × 37¹ × 53¹
LCM(45084,45103) = 2033423652