What is the Least Common Multiple of 87519 and 87532?

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 87519 and 87532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87519 and 87532, than apply into the LCM equation.

GCF(87519,87532) = 1
LCM(87519,87532) = ( 87519 × 87532) / 1
LCM(87519,87532) = 7660713108 / 1
LCM(87519,87532) = 7660713108

Least Common Multiple (LCM) of 87519 and 87532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87519 and 87532. First we will calculate the prime factors of 87519 and 87532.

Prime Factorization of 87519

Prime Factorization of 87532

Now multiplying the highest exponent prime factors to calculate the LCM of 87519 and 87532.

LCM(87519,87532) = 3¹ × 29173¹ × 2² × 79¹ × 277¹
LCM(87519,87532) = 7660713108