What is the Least Common Multiple of 27490 and 27504?

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 27490 and 27504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27490 and 27504, than apply into the LCM equation.

GCF(27490,27504) = 2
LCM(27490,27504) = ( 27490 × 27504) / 2
LCM(27490,27504) = 756084960 / 2
LCM(27490,27504) = 378042480

Least Common Multiple (LCM) of 27490 and 27504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27490 and 27504. First we will calculate the prime factors of 27490 and 27504.

Prime Factorization of 27490

Prime Factorization of 27504

Now multiplying the highest exponent prime factors to calculate the LCM of 27490 and 27504.

LCM(27490,27504) = 2⁴ × 5¹ × 2749¹ × 3² × 191¹
LCM(27490,27504) = 378042480