What is the Least Common Multiple of 14076 and 14096?

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 14076 and 14096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14076 and 14096, than apply into the LCM equation.

GCF(14076,14096) = 4
LCM(14076,14096) = ( 14076 × 14096) / 4
LCM(14076,14096) = 198415296 / 4
LCM(14076,14096) = 49603824

Least Common Multiple (LCM) of 14076 and 14096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14076 and 14096. First we will calculate the prime factors of 14076 and 14096.

Prime Factorization of 14076

Prime Factorization of 14096

Now multiplying the highest exponent prime factors to calculate the LCM of 14076 and 14096.

LCM(14076,14096) = 2⁴ × 3² × 17¹ × 23¹ × 881¹
LCM(14076,14096) = 49603824