What is the Least Common Multiple of 87008 and 87020?

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 87008 and 87020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87008 and 87020, than apply into the LCM equation.

GCF(87008,87020) = 4
LCM(87008,87020) = ( 87008 × 87020) / 4
LCM(87008,87020) = 7571436160 / 4
LCM(87008,87020) = 1892859040

Least Common Multiple (LCM) of 87008 and 87020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87008 and 87020. First we will calculate the prime factors of 87008 and 87020.

Prime Factorization of 87008

Prime Factorization of 87020

Now multiplying the highest exponent prime factors to calculate the LCM of 87008 and 87020.

LCM(87008,87020) = 2⁵ × 2719¹ × 5¹ × 19¹ × 229¹
LCM(87008,87020) = 1892859040