What is the Least Common Multiple of 14075 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 14075 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 14075 and 14080, than apply into the LCM equation.

GCF(14075,14080) = 5
LCM(14075,14080) = ( 14075 × 14080) / 5
LCM(14075,14080) = 198176000 / 5
LCM(14075,14080) = 39635200

Least Common Multiple (LCM) of 14075 and 14080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14075 and 14080. First we will calculate the prime factors of 14075 and 14080.

Prime Factorization of 14075

Prime Factorization of 14080

Now multiplying the highest exponent prime factors to calculate the LCM of 14075 and 14080.

LCM(14075,14080) = 5² × 563¹ × 2⁸ × 11¹
LCM(14075,14080) = 39635200