What is the Least Common Multiple of 2010 and 2027?

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 2010 and 2027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2010 and 2027, than apply into the LCM equation.

GCF(2010,2027) = 1
LCM(2010,2027) = ( 2010 × 2027) / 1
LCM(2010,2027) = 4074270 / 1
LCM(2010,2027) = 4074270

Least Common Multiple (LCM) of 2010 and 2027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2010 and 2027. First we will calculate the prime factors of 2010 and 2027.

Prime Factorization of 2010

Prime Factorization of 2027

Now multiplying the highest exponent prime factors to calculate the LCM of 2010 and 2027.

LCM(2010,2027) = 2¹ × 3¹ × 5¹ × 67¹ × 2027¹
LCM(2010,2027) = 4074270