What is the Least Common Multiple of 87675 and 87680?

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 87675 and 87680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87675 and 87680, than apply into the LCM equation.

GCF(87675,87680) = 5
LCM(87675,87680) = ( 87675 × 87680) / 5
LCM(87675,87680) = 7687344000 / 5
LCM(87675,87680) = 1537468800

Least Common Multiple (LCM) of 87675 and 87680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87675 and 87680. First we will calculate the prime factors of 87675 and 87680.

Prime Factorization of 87675

Prime Factorization of 87680

Now multiplying the highest exponent prime factors to calculate the LCM of 87675 and 87680.

LCM(87675,87680) = 3¹ × 5² × 7¹ × 167¹ × 2⁷ × 137¹
LCM(87675,87680) = 1537468800