What is the Least Common Multiple of 14280 and 14300?

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 14280 and 14300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14280 and 14300, than apply into the LCM equation.

GCF(14280,14300) = 20
LCM(14280,14300) = ( 14280 × 14300) / 20
LCM(14280,14300) = 204204000 / 20
LCM(14280,14300) = 10210200

Least Common Multiple (LCM) of 14280 and 14300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14280 and 14300. First we will calculate the prime factors of 14280 and 14300.

Prime Factorization of 14280

Prime Factorization of 14300

Now multiplying the highest exponent prime factors to calculate the LCM of 14280 and 14300.

LCM(14280,14300) = 2³ × 3¹ × 5² × 7¹ × 17¹ × 11¹ × 13¹
LCM(14280,14300) = 10210200