What is the Least Common Multiple of 14675 and 14690?

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 14675 and 14690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14675 and 14690, than apply into the LCM equation.

GCF(14675,14690) = 5
LCM(14675,14690) = ( 14675 × 14690) / 5
LCM(14675,14690) = 215575750 / 5
LCM(14675,14690) = 43115150

Least Common Multiple (LCM) of 14675 and 14690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14675 and 14690. First we will calculate the prime factors of 14675 and 14690.

Prime Factorization of 14675

Prime Factorization of 14690

Now multiplying the highest exponent prime factors to calculate the LCM of 14675 and 14690.

LCM(14675,14690) = 5² × 587¹ × 2¹ × 13¹ × 113¹
LCM(14675,14690) = 43115150