What is the Least Common Multiple of 14080 and 14090?

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 14080 and 14090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14080 and 14090, than apply into the LCM equation.

GCF(14080,14090) = 10
LCM(14080,14090) = ( 14080 × 14090) / 10
LCM(14080,14090) = 198387200 / 10
LCM(14080,14090) = 19838720

Least Common Multiple (LCM) of 14080 and 14090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14080 and 14090. First we will calculate the prime factors of 14080 and 14090.

Prime Factorization of 14080

Prime Factorization of 14090

Now multiplying the highest exponent prime factors to calculate the LCM of 14080 and 14090.

LCM(14080,14090) = 2⁸ × 5¹ × 11¹ × 1409¹
LCM(14080,14090) = 19838720