What is the Least Common Multiple of 85284 and 85302?

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 85284 and 85302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85284 and 85302, than apply into the LCM equation.

GCF(85284,85302) = 18
LCM(85284,85302) = ( 85284 × 85302) / 18
LCM(85284,85302) = 7274895768 / 18
LCM(85284,85302) = 404160876

Least Common Multiple (LCM) of 85284 and 85302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85284 and 85302. First we will calculate the prime factors of 85284 and 85302.

Prime Factorization of 85284

Prime Factorization of 85302

Now multiplying the highest exponent prime factors to calculate the LCM of 85284 and 85302.

LCM(85284,85302) = 2² × 3² × 23¹ × 103¹ × 7¹ × 677¹
LCM(85284,85302) = 404160876