What is the Least Common Multiple of 87008 and 87012?

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 87012 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 87012, than apply into the LCM equation.

GCF(87008,87012) = 4
LCM(87008,87012) = ( 87008 × 87012) / 4
LCM(87008,87012) = 7570740096 / 4
LCM(87008,87012) = 1892685024

Least Common Multiple (LCM) of 87008 and 87012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87008 and 87012. First we will calculate the prime factors of 87008 and 87012.

Prime Factorization of 87008

Prime Factorization of 87012

Now multiplying the highest exponent prime factors to calculate the LCM of 87008 and 87012.

LCM(87008,87012) = 2⁵ × 2719¹ × 3² × 2417¹
LCM(87008,87012) = 1892685024