What is the Least Common Multiple of 56439 and 56448?

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 56439 and 56448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56439 and 56448, than apply into the LCM equation.

GCF(56439,56448) = 9
LCM(56439,56448) = ( 56439 × 56448) / 9
LCM(56439,56448) = 3185868672 / 9
LCM(56439,56448) = 353985408

Least Common Multiple (LCM) of 56439 and 56448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56439 and 56448. First we will calculate the prime factors of 56439 and 56448.

Prime Factorization of 56439

Prime Factorization of 56448

Now multiplying the highest exponent prime factors to calculate the LCM of 56439 and 56448.

LCM(56439,56448) = 3² × 6271¹ × 2⁷ × 7²
LCM(56439,56448) = 353985408