What is the Least Common Multiple of 85312 and 85321?

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 85312 and 85321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85312 and 85321, than apply into the LCM equation.

GCF(85312,85321) = 1
LCM(85312,85321) = ( 85312 × 85321) / 1
LCM(85312,85321) = 7278905152 / 1
LCM(85312,85321) = 7278905152

Least Common Multiple (LCM) of 85312 and 85321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85312 and 85321. First we will calculate the prime factors of 85312 and 85321.

Prime Factorization of 85312

Prime Factorization of 85321

Now multiplying the highest exponent prime factors to calculate the LCM of 85312 and 85321.

LCM(85312,85321) = 2⁶ × 31¹ × 43¹ × 41¹ × 2081¹
LCM(85312,85321) = 7278905152