What is the Least Common Multiple of 93696 and 93701?

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 93696 and 93701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93696 and 93701, than apply into the LCM equation.

GCF(93696,93701) = 1
LCM(93696,93701) = ( 93696 × 93701) / 1
LCM(93696,93701) = 8779408896 / 1
LCM(93696,93701) = 8779408896

Least Common Multiple (LCM) of 93696 and 93701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93696 and 93701. First we will calculate the prime factors of 93696 and 93701.

Prime Factorization of 93696

Prime Factorization of 93701

Now multiplying the highest exponent prime factors to calculate the LCM of 93696 and 93701.

LCM(93696,93701) = 2⁹ × 3¹ × 61¹ × 93701¹
LCM(93696,93701) = 8779408896