What is the Least Common Multiple of 87012 and 87027?

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 87012 and 87027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87012 and 87027, than apply into the LCM equation.

GCF(87012,87027) = 3
LCM(87012,87027) = ( 87012 × 87027) / 3
LCM(87012,87027) = 7572393324 / 3
LCM(87012,87027) = 2524131108

Least Common Multiple (LCM) of 87012 and 87027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87012 and 87027. First we will calculate the prime factors of 87012 and 87027.

Prime Factorization of 87012

Prime Factorization of 87027

Now multiplying the highest exponent prime factors to calculate the LCM of 87012 and 87027.

LCM(87012,87027) = 2² × 3² × 2417¹ × 29009¹
LCM(87012,87027) = 2524131108