What is the Least Common Multiple of 14849 and 14863?

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 14849 and 14863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14849 and 14863, than apply into the LCM equation.

GCF(14849,14863) = 1
LCM(14849,14863) = ( 14849 × 14863) / 1
LCM(14849,14863) = 220700687 / 1
LCM(14849,14863) = 220700687

Least Common Multiple (LCM) of 14849 and 14863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14849 and 14863. First we will calculate the prime factors of 14849 and 14863.

Prime Factorization of 14849

Prime Factorization of 14863

Now multiplying the highest exponent prime factors to calculate the LCM of 14849 and 14863.

LCM(14849,14863) = 31¹ × 479¹ × 89¹ × 167¹
LCM(14849,14863) = 220700687