What is the Least Common Multiple of 85302 and 85312?

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 85302 and 85312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85302 and 85312, than apply into the LCM equation.

GCF(85302,85312) = 2
LCM(85302,85312) = ( 85302 × 85312) / 2
LCM(85302,85312) = 7277284224 / 2
LCM(85302,85312) = 3638642112

Least Common Multiple (LCM) of 85302 and 85312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85302 and 85312. First we will calculate the prime factors of 85302 and 85312.

Prime Factorization of 85302

Prime Factorization of 85312

Now multiplying the highest exponent prime factors to calculate the LCM of 85302 and 85312.

LCM(85302,85312) = 2⁶ × 3² × 7¹ × 677¹ × 31¹ × 43¹
LCM(85302,85312) = 3638642112