What is the Least Common Multiple of 85314 and 85328?

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 85314 and 85328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85314 and 85328, than apply into the LCM equation.

GCF(85314,85328) = 2
LCM(85314,85328) = ( 85314 × 85328) / 2
LCM(85314,85328) = 7279672992 / 2
LCM(85314,85328) = 3639836496

Least Common Multiple (LCM) of 85314 and 85328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85314 and 85328. First we will calculate the prime factors of 85314 and 85328.

Prime Factorization of 85314

Prime Factorization of 85328

Now multiplying the highest exponent prime factors to calculate the LCM of 85314 and 85328.

LCM(85314,85328) = 2⁴ × 3¹ × 59¹ × 241¹ × 5333¹
LCM(85314,85328) = 3639836496