What is the Least Common Multiple of 87542 and 87555?

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 87542 and 87555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87542 and 87555, than apply into the LCM equation.

GCF(87542,87555) = 13
LCM(87542,87555) = ( 87542 × 87555) / 13
LCM(87542,87555) = 7664739810 / 13
LCM(87542,87555) = 589595370

Least Common Multiple (LCM) of 87542 and 87555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87542 and 87555. First we will calculate the prime factors of 87542 and 87555.

Prime Factorization of 87542

Prime Factorization of 87555

Now multiplying the highest exponent prime factors to calculate the LCM of 87542 and 87555.

LCM(87542,87555) = 2¹ × 7¹ × 13² × 37¹ × 3¹ × 5¹ × 449¹
LCM(87542,87555) = 589595370