What is the Least Common Multiple of 14586 and 14590?

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 14586 and 14590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14586 and 14590, than apply into the LCM equation.

GCF(14586,14590) = 2
LCM(14586,14590) = ( 14586 × 14590) / 2
LCM(14586,14590) = 212809740 / 2
LCM(14586,14590) = 106404870

Least Common Multiple (LCM) of 14586 and 14590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14586 and 14590. First we will calculate the prime factors of 14586 and 14590.

Prime Factorization of 14586

Prime Factorization of 14590

Now multiplying the highest exponent prime factors to calculate the LCM of 14586 and 14590.

LCM(14586,14590) = 2¹ × 3¹ × 11¹ × 13¹ × 17¹ × 5¹ × 1459¹
LCM(14586,14590) = 106404870