What is the Least Common Multiple of 87008 and 87024?

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 87024 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 87024, than apply into the LCM equation.

GCF(87008,87024) = 16
LCM(87008,87024) = ( 87008 × 87024) / 16
LCM(87008,87024) = 7571784192 / 16
LCM(87008,87024) = 473236512

Least Common Multiple (LCM) of 87008 and 87024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87008 and 87024. First we will calculate the prime factors of 87008 and 87024.

Prime Factorization of 87008

Prime Factorization of 87024

Now multiplying the highest exponent prime factors to calculate the LCM of 87008 and 87024.

LCM(87008,87024) = 2⁵ × 2719¹ × 3¹ × 7² × 37¹
LCM(87008,87024) = 473236512