What is the Least Common Multiple of 4419 and 4432?

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 4419 and 4432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4419 and 4432, than apply into the LCM equation.

GCF(4419,4432) = 1
LCM(4419,4432) = ( 4419 × 4432) / 1
LCM(4419,4432) = 19585008 / 1
LCM(4419,4432) = 19585008

Least Common Multiple (LCM) of 4419 and 4432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4419 and 4432. First we will calculate the prime factors of 4419 and 4432.

Prime Factorization of 4419

Prime Factorization of 4432

Now multiplying the highest exponent prime factors to calculate the LCM of 4419 and 4432.

LCM(4419,4432) = 3² × 491¹ × 2⁴ × 277¹
LCM(4419,4432) = 19585008