What is the Least Common Multiple of 14506 and 14516?

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 14506 and 14516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14506 and 14516, than apply into the LCM equation.

GCF(14506,14516) = 2
LCM(14506,14516) = ( 14506 × 14516) / 2
LCM(14506,14516) = 210569096 / 2
LCM(14506,14516) = 105284548

Least Common Multiple (LCM) of 14506 and 14516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14506 and 14516. First we will calculate the prime factors of 14506 and 14516.

Prime Factorization of 14506

Prime Factorization of 14516

Now multiplying the highest exponent prime factors to calculate the LCM of 14506 and 14516.

LCM(14506,14516) = 2² × 7253¹ × 19¹ × 191¹
LCM(14506,14516) = 105284548