What is the Least Common Multiple of 93696 and 93712?

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 93712 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 93712, than apply into the LCM equation.

GCF(93696,93712) = 16
LCM(93696,93712) = ( 93696 × 93712) / 16
LCM(93696,93712) = 8780439552 / 16
LCM(93696,93712) = 548777472

Least Common Multiple (LCM) of 93696 and 93712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93696 and 93712. First we will calculate the prime factors of 93696 and 93712.

Prime Factorization of 93696

Prime Factorization of 93712

Now multiplying the highest exponent prime factors to calculate the LCM of 93696 and 93712.

LCM(93696,93712) = 2⁹ × 3¹ × 61¹ × 5857¹
LCM(93696,93712) = 548777472