What is the Least Common Multiple of 52014 and 52027?

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 52014 and 52027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52014 and 52027, than apply into the LCM equation.

GCF(52014,52027) = 1
LCM(52014,52027) = ( 52014 × 52027) / 1
LCM(52014,52027) = 2706132378 / 1
LCM(52014,52027) = 2706132378

Least Common Multiple (LCM) of 52014 and 52027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52014 and 52027. First we will calculate the prime factors of 52014 and 52027.

Prime Factorization of 52014

Prime Factorization of 52027

Now multiplying the highest exponent prime factors to calculate the LCM of 52014 and 52027.

LCM(52014,52027) = 2¹ × 3¹ × 8669¹ × 52027¹
LCM(52014,52027) = 2706132378