What is the Least Common Multiple of 4409 and 4424?

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 4409 and 4424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4409 and 4424, than apply into the LCM equation.

GCF(4409,4424) = 1
LCM(4409,4424) = ( 4409 × 4424) / 1
LCM(4409,4424) = 19505416 / 1
LCM(4409,4424) = 19505416

Least Common Multiple (LCM) of 4409 and 4424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4409 and 4424. First we will calculate the prime factors of 4409 and 4424.

Prime Factorization of 4409

Prime Factorization of 4424

Now multiplying the highest exponent prime factors to calculate the LCM of 4409 and 4424.

LCM(4409,4424) = 4409¹ × 2³ × 7¹ × 79¹
LCM(4409,4424) = 19505416