What is the Least Common Multiple of 14076 and 14080?

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 14080 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 14080, than apply into the LCM equation.

GCF(14076,14080) = 4
LCM(14076,14080) = ( 14076 × 14080) / 4
LCM(14076,14080) = 198190080 / 4
LCM(14076,14080) = 49547520

Least Common Multiple (LCM) of 14076 and 14080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14076 and 14080. First we will calculate the prime factors of 14076 and 14080.

Prime Factorization of 14076

Prime Factorization of 14080

Now multiplying the highest exponent prime factors to calculate the LCM of 14076 and 14080.

LCM(14076,14080) = 2⁸ × 3² × 17¹ × 23¹ × 5¹ × 11¹
LCM(14076,14080) = 49547520