What is the Least Common Multiple of 14878 and 14890?

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 14878 and 14890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14878 and 14890, than apply into the LCM equation.

GCF(14878,14890) = 2
LCM(14878,14890) = ( 14878 × 14890) / 2
LCM(14878,14890) = 221533420 / 2
LCM(14878,14890) = 110766710

Least Common Multiple (LCM) of 14878 and 14890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14878 and 14890. First we will calculate the prime factors of 14878 and 14890.

Prime Factorization of 14878

Prime Factorization of 14890

Now multiplying the highest exponent prime factors to calculate the LCM of 14878 and 14890.

LCM(14878,14890) = 2¹ × 43¹ × 173¹ × 5¹ × 1489¹
LCM(14878,14890) = 110766710