What is the Least Common Multiple of 87578 and 87585?

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 87578 and 87585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87578 and 87585, than apply into the LCM equation.

GCF(87578,87585) = 1
LCM(87578,87585) = ( 87578 × 87585) / 1
LCM(87578,87585) = 7670519130 / 1
LCM(87578,87585) = 7670519130

Least Common Multiple (LCM) of 87578 and 87585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87578 and 87585. First we will calculate the prime factors of 87578 and 87585.

Prime Factorization of 87578

Prime Factorization of 87585

Now multiplying the highest exponent prime factors to calculate the LCM of 87578 and 87585.

LCM(87578,87585) = 2¹ × 43789¹ × 3¹ × 5¹ × 5839¹
LCM(87578,87585) = 7670519130