What is the Least Common Multiple of 14652 and 14671?

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 14652 and 14671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14652 and 14671, than apply into the LCM equation.

GCF(14652,14671) = 1
LCM(14652,14671) = ( 14652 × 14671) / 1
LCM(14652,14671) = 214959492 / 1
LCM(14652,14671) = 214959492

Least Common Multiple (LCM) of 14652 and 14671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14652 and 14671. First we will calculate the prime factors of 14652 and 14671.

Prime Factorization of 14652

Prime Factorization of 14671

Now multiplying the highest exponent prime factors to calculate the LCM of 14652 and 14671.

LCM(14652,14671) = 2² × 3² × 11¹ × 37¹ × 17¹ × 863¹
LCM(14652,14671) = 214959492