What is the Least Common Multiple of 45072 and 45076?

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 45072 and 45076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45072 and 45076, than apply into the LCM equation.

GCF(45072,45076) = 4
LCM(45072,45076) = ( 45072 × 45076) / 4
LCM(45072,45076) = 2031665472 / 4
LCM(45072,45076) = 507916368

Least Common Multiple (LCM) of 45072 and 45076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45072 and 45076. First we will calculate the prime factors of 45072 and 45076.

Prime Factorization of 45072

Prime Factorization of 45076

Now multiplying the highest exponent prime factors to calculate the LCM of 45072 and 45076.

LCM(45072,45076) = 2⁴ × 3² × 313¹ × 59¹ × 191¹
LCM(45072,45076) = 507916368