What is the Least Common Multiple of 87519 and 87530?

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 87530 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 87530, than apply into the LCM equation.

GCF(87519,87530) = 1
LCM(87519,87530) = ( 87519 × 87530) / 1
LCM(87519,87530) = 7660538070 / 1
LCM(87519,87530) = 7660538070

Least Common Multiple (LCM) of 87519 and 87530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87519 and 87530. First we will calculate the prime factors of 87519 and 87530.

Prime Factorization of 87519

Prime Factorization of 87530

Now multiplying the highest exponent prime factors to calculate the LCM of 87519 and 87530.

LCM(87519,87530) = 3¹ × 29173¹ × 2¹ × 5¹ × 8753¹
LCM(87519,87530) = 7660538070