What is the Least Common Multiple of 14854 and 14860?

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 14854 and 14860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14854 and 14860, than apply into the LCM equation.

GCF(14854,14860) = 2
LCM(14854,14860) = ( 14854 × 14860) / 2
LCM(14854,14860) = 220730440 / 2
LCM(14854,14860) = 110365220

Least Common Multiple (LCM) of 14854 and 14860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14854 and 14860. First we will calculate the prime factors of 14854 and 14860.

Prime Factorization of 14854

Prime Factorization of 14860

Now multiplying the highest exponent prime factors to calculate the LCM of 14854 and 14860.

LCM(14854,14860) = 2² × 7¹ × 1061¹ × 5¹ × 743¹
LCM(14854,14860) = 110365220