What is the Least Common Multiple of 74448 and 74452?

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 74448 and 74452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74448 and 74452, than apply into the LCM equation.

GCF(74448,74452) = 4
LCM(74448,74452) = ( 74448 × 74452) / 4
LCM(74448,74452) = 5542802496 / 4
LCM(74448,74452) = 1385700624

Least Common Multiple (LCM) of 74448 and 74452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74448 and 74452. First we will calculate the prime factors of 74448 and 74452.

Prime Factorization of 74448

Prime Factorization of 74452

Now multiplying the highest exponent prime factors to calculate the LCM of 74448 and 74452.

LCM(74448,74452) = 2⁴ × 3² × 11¹ × 47¹ × 7¹ × 2659¹
LCM(74448,74452) = 1385700624