What is the Least Common Multiple of 44436 and 44448?

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 44436 and 44448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44436 and 44448, than apply into the LCM equation.

GCF(44436,44448) = 12
LCM(44436,44448) = ( 44436 × 44448) / 12
LCM(44436,44448) = 1975091328 / 12
LCM(44436,44448) = 164590944

Least Common Multiple (LCM) of 44436 and 44448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44436 and 44448. First we will calculate the prime factors of 44436 and 44448.

Prime Factorization of 44436

Prime Factorization of 44448

Now multiplying the highest exponent prime factors to calculate the LCM of 44436 and 44448.

LCM(44436,44448) = 2⁵ × 3¹ × 7¹ × 23² × 463¹
LCM(44436,44448) = 164590944