What is the Least Common Multiple of 44463 and 44478?

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 44463 and 44478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44463 and 44478, than apply into the LCM equation.

GCF(44463,44478) = 3
LCM(44463,44478) = ( 44463 × 44478) / 3
LCM(44463,44478) = 1977625314 / 3
LCM(44463,44478) = 659208438

Least Common Multiple (LCM) of 44463 and 44478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44463 and 44478. First we will calculate the prime factors of 44463 and 44478.

Prime Factorization of 44463

Prime Factorization of 44478

Now multiplying the highest exponent prime factors to calculate the LCM of 44463 and 44478.

LCM(44463,44478) = 3² × 14821¹ × 2¹ × 7¹ × 353¹
LCM(44463,44478) = 659208438