What is the Least Common Multiple of 42512 and 42527?

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 42512 and 42527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42512 and 42527, than apply into the LCM equation.

GCF(42512,42527) = 1
LCM(42512,42527) = ( 42512 × 42527) / 1
LCM(42512,42527) = 1807907824 / 1
LCM(42512,42527) = 1807907824

Least Common Multiple (LCM) of 42512 and 42527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42512 and 42527. First we will calculate the prime factors of 42512 and 42527.

Prime Factorization of 42512

Prime Factorization of 42527

Now multiplying the highest exponent prime factors to calculate the LCM of 42512 and 42527.

LCM(42512,42527) = 2⁴ × 2657¹ × 23¹ × 43²
LCM(42512,42527) = 1807907824