What is the Least Common Multiple of 14490 and 14496?

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 14490 and 14496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14490 and 14496, than apply into the LCM equation.

GCF(14490,14496) = 6
LCM(14490,14496) = ( 14490 × 14496) / 6
LCM(14490,14496) = 210047040 / 6
LCM(14490,14496) = 35007840

Least Common Multiple (LCM) of 14490 and 14496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14490 and 14496. First we will calculate the prime factors of 14490 and 14496.

Prime Factorization of 14490

Prime Factorization of 14496

Now multiplying the highest exponent prime factors to calculate the LCM of 14490 and 14496.

LCM(14490,14496) = 2⁵ × 3² × 5¹ × 7¹ × 23¹ × 151¹
LCM(14490,14496) = 35007840