What is the Least Common Multiple of 85305 and 85320?

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 85305 and 85320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85305 and 85320, than apply into the LCM equation.

GCF(85305,85320) = 15
LCM(85305,85320) = ( 85305 × 85320) / 15
LCM(85305,85320) = 7278222600 / 15
LCM(85305,85320) = 485214840

Least Common Multiple (LCM) of 85305 and 85320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85305 and 85320. First we will calculate the prime factors of 85305 and 85320.

Prime Factorization of 85305

Prime Factorization of 85320

Now multiplying the highest exponent prime factors to calculate the LCM of 85305 and 85320.

LCM(85305,85320) = 3³ × 5¹ × 11² × 47¹ × 2³ × 79¹
LCM(85305,85320) = 485214840