What is the Least Common Multiple of 14919 and 14928?

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 14919 and 14928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14919 and 14928, than apply into the LCM equation.

GCF(14919,14928) = 3
LCM(14919,14928) = ( 14919 × 14928) / 3
LCM(14919,14928) = 222710832 / 3
LCM(14919,14928) = 74236944

Least Common Multiple (LCM) of 14919 and 14928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14919 and 14928. First we will calculate the prime factors of 14919 and 14928.

Prime Factorization of 14919

Prime Factorization of 14928

Now multiplying the highest exponent prime factors to calculate the LCM of 14919 and 14928.

LCM(14919,14928) = 3¹ × 4973¹ × 2⁴ × 311¹
LCM(14919,14928) = 74236944