What is the Least Common Multiple of 73044 and 73052?

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 73044 and 73052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73044 and 73052, than apply into the LCM equation.

GCF(73044,73052) = 4
LCM(73044,73052) = ( 73044 × 73052) / 4
LCM(73044,73052) = 5336010288 / 4
LCM(73044,73052) = 1334002572

Least Common Multiple (LCM) of 73044 and 73052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73044 and 73052. First we will calculate the prime factors of 73044 and 73052.

Prime Factorization of 73044

Prime Factorization of 73052

Now multiplying the highest exponent prime factors to calculate the LCM of 73044 and 73052.

LCM(73044,73052) = 2² × 3² × 2029¹ × 7¹ × 2609¹
LCM(73044,73052) = 1334002572