What is the Least Common Multiple of 5504 and 5509?

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 5504 and 5509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5504 and 5509, than apply into the LCM equation.

GCF(5504,5509) = 1
LCM(5504,5509) = ( 5504 × 5509) / 1
LCM(5504,5509) = 30321536 / 1
LCM(5504,5509) = 30321536

Least Common Multiple (LCM) of 5504 and 5509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5504 and 5509. First we will calculate the prime factors of 5504 and 5509.

Prime Factorization of 5504

Prime Factorization of 5509

Now multiplying the highest exponent prime factors to calculate the LCM of 5504 and 5509.

LCM(5504,5509) = 2⁷ × 43¹ × 7¹ × 787¹
LCM(5504,5509) = 30321536