What is the Least Common Multiple of 73428 and 73443?

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 73428 and 73443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73428 and 73443, than apply into the LCM equation.

GCF(73428,73443) = 3
LCM(73428,73443) = ( 73428 × 73443) / 3
LCM(73428,73443) = 5392772604 / 3
LCM(73428,73443) = 1797590868

Least Common Multiple (LCM) of 73428 and 73443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73428 and 73443. First we will calculate the prime factors of 73428 and 73443.

Prime Factorization of 73428

Prime Factorization of 73443

Now multiplying the highest exponent prime factors to calculate the LCM of 73428 and 73443.

LCM(73428,73443) = 2² × 3¹ × 29¹ × 211¹ × 24481¹
LCM(73428,73443) = 1797590868