What is the Least Common Multiple of 92705 and 92712?

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 92705 and 92712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92705 and 92712, than apply into the LCM equation.

GCF(92705,92712) = 1
LCM(92705,92712) = ( 92705 × 92712) / 1
LCM(92705,92712) = 8594865960 / 1
LCM(92705,92712) = 8594865960

Least Common Multiple (LCM) of 92705 and 92712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92705 and 92712. First we will calculate the prime factors of 92705 and 92712.

Prime Factorization of 92705

Prime Factorization of 92712

Now multiplying the highest exponent prime factors to calculate the LCM of 92705 and 92712.

LCM(92705,92712) = 5¹ × 18541¹ × 2³ × 3¹ × 3863¹
LCM(92705,92712) = 8594865960