What is the Least Common Multiple of 87594 and 87608?

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 87594 and 87608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87594 and 87608, than apply into the LCM equation.

GCF(87594,87608) = 2
LCM(87594,87608) = ( 87594 × 87608) / 2
LCM(87594,87608) = 7673935152 / 2
LCM(87594,87608) = 3836967576

Least Common Multiple (LCM) of 87594 and 87608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87594 and 87608. First we will calculate the prime factors of 87594 and 87608.

Prime Factorization of 87594

Prime Factorization of 87608

Now multiplying the highest exponent prime factors to calculate the LCM of 87594 and 87608.

LCM(87594,87608) = 2³ × 3¹ × 13¹ × 1123¹ × 47¹ × 233¹
LCM(87594,87608) = 3836967576