What is the Least Common Multiple of 27990 and 28010?

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 27990 and 28010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27990 and 28010, than apply into the LCM equation.

GCF(27990,28010) = 10
LCM(27990,28010) = ( 27990 × 28010) / 10
LCM(27990,28010) = 783999900 / 10
LCM(27990,28010) = 78399990

Least Common Multiple (LCM) of 27990 and 28010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27990 and 28010. First we will calculate the prime factors of 27990 and 28010.

Prime Factorization of 27990

Prime Factorization of 28010

Now multiplying the highest exponent prime factors to calculate the LCM of 27990 and 28010.

LCM(27990,28010) = 2¹ × 3² × 5¹ × 311¹ × 2801¹
LCM(27990,28010) = 78399990