What is the Least Common Multiple of 87599 and 87616?

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 87599 and 87616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87599 and 87616, than apply into the LCM equation.

GCF(87599,87616) = 1
LCM(87599,87616) = ( 87599 × 87616) / 1
LCM(87599,87616) = 7675073984 / 1
LCM(87599,87616) = 7675073984

Least Common Multiple (LCM) of 87599 and 87616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87599 and 87616. First we will calculate the prime factors of 87599 and 87616.

Prime Factorization of 87599

Prime Factorization of 87616

Now multiplying the highest exponent prime factors to calculate the LCM of 87599 and 87616.

LCM(87599,87616) = 251¹ × 349¹ × 2⁶ × 37²
LCM(87599,87616) = 7675073984