What is the Least Common Multiple of 93599 and 93607?

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 93599 and 93607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93599 and 93607, than apply into the LCM equation.

GCF(93599,93607) = 1
LCM(93599,93607) = ( 93599 × 93607) / 1
LCM(93599,93607) = 8761521593 / 1
LCM(93599,93607) = 8761521593

Least Common Multiple (LCM) of 93599 and 93607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93599 and 93607. First we will calculate the prime factors of 93599 and 93607.

Prime Factorization of 93599

Prime Factorization of 93607

Now multiplying the highest exponent prime factors to calculate the LCM of 93599 and 93607.

LCM(93599,93607) = 11¹ × 67¹ × 127¹ × 93607¹
LCM(93599,93607) = 8761521593