What is the Least Common Multiple of 5490 and 5504?

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 5490 and 5504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5490 and 5504, than apply into the LCM equation.

GCF(5490,5504) = 2
LCM(5490,5504) = ( 5490 × 5504) / 2
LCM(5490,5504) = 30216960 / 2
LCM(5490,5504) = 15108480

Least Common Multiple (LCM) of 5490 and 5504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5490 and 5504. First we will calculate the prime factors of 5490 and 5504.

Prime Factorization of 5490

Prime Factorization of 5504

Now multiplying the highest exponent prime factors to calculate the LCM of 5490 and 5504.

LCM(5490,5504) = 2⁷ × 3² × 5¹ × 61¹ × 43¹
LCM(5490,5504) = 15108480