What is the Least Common Multiple of 11490 and 11504?

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 11490 and 11504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11490 and 11504, than apply into the LCM equation.

GCF(11490,11504) = 2
LCM(11490,11504) = ( 11490 × 11504) / 2
LCM(11490,11504) = 132180960 / 2
LCM(11490,11504) = 66090480

Least Common Multiple (LCM) of 11490 and 11504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11490 and 11504. First we will calculate the prime factors of 11490 and 11504.

Prime Factorization of 11490

Prime Factorization of 11504

Now multiplying the highest exponent prime factors to calculate the LCM of 11490 and 11504.

LCM(11490,11504) = 2⁴ × 3¹ × 5¹ × 383¹ × 719¹
LCM(11490,11504) = 66090480