What is the Least Common Multiple of 87052 and 87071?

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 87052 and 87071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87052 and 87071, than apply into the LCM equation.

GCF(87052,87071) = 1
LCM(87052,87071) = ( 87052 × 87071) / 1
LCM(87052,87071) = 7579704692 / 1
LCM(87052,87071) = 7579704692

Least Common Multiple (LCM) of 87052 and 87071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87052 and 87071. First we will calculate the prime factors of 87052 and 87071.

Prime Factorization of 87052

Prime Factorization of 87071

Now multiplying the highest exponent prime factors to calculate the LCM of 87052 and 87071.

LCM(87052,87071) = 2² × 7¹ × 3109¹ × 87071¹
LCM(87052,87071) = 7579704692