What is the Least Common Multiple of 14860 and 14870?

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 14860 and 14870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14860 and 14870, than apply into the LCM equation.

GCF(14860,14870) = 10
LCM(14860,14870) = ( 14860 × 14870) / 10
LCM(14860,14870) = 220968200 / 10
LCM(14860,14870) = 22096820

Least Common Multiple (LCM) of 14860 and 14870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14860 and 14870. First we will calculate the prime factors of 14860 and 14870.

Prime Factorization of 14860

Prime Factorization of 14870

Now multiplying the highest exponent prime factors to calculate the LCM of 14860 and 14870.

LCM(14860,14870) = 2² × 5¹ × 743¹ × 1487¹
LCM(14860,14870) = 22096820