What is the Least Common Multiple of 14546 and 14557?

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 14546 and 14557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14546 and 14557, than apply into the LCM equation.

GCF(14546,14557) = 1
LCM(14546,14557) = ( 14546 × 14557) / 1
LCM(14546,14557) = 211746122 / 1
LCM(14546,14557) = 211746122

Least Common Multiple (LCM) of 14546 and 14557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14546 and 14557. First we will calculate the prime factors of 14546 and 14557.

Prime Factorization of 14546

Prime Factorization of 14557

Now multiplying the highest exponent prime factors to calculate the LCM of 14546 and 14557.

LCM(14546,14557) = 2¹ × 7¹ × 1039¹ × 14557¹
LCM(14546,14557) = 211746122