What is the Least Common Multiple of 14704 and 14715?

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 14704 and 14715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14704 and 14715, than apply into the LCM equation.

GCF(14704,14715) = 1
LCM(14704,14715) = ( 14704 × 14715) / 1
LCM(14704,14715) = 216369360 / 1
LCM(14704,14715) = 216369360

Least Common Multiple (LCM) of 14704 and 14715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14704 and 14715. First we will calculate the prime factors of 14704 and 14715.

Prime Factorization of 14704

Prime Factorization of 14715

Now multiplying the highest exponent prime factors to calculate the LCM of 14704 and 14715.

LCM(14704,14715) = 2⁴ × 919¹ × 3³ × 5¹ × 109¹
LCM(14704,14715) = 216369360