What is the Least Common Multiple of 85305 and 85315?

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 85315 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 85315, than apply into the LCM equation.

GCF(85305,85315) = 5
LCM(85305,85315) = ( 85305 × 85315) / 5
LCM(85305,85315) = 7277796075 / 5
LCM(85305,85315) = 1455559215

Least Common Multiple (LCM) of 85305 and 85315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85305 and 85315. First we will calculate the prime factors of 85305 and 85315.

Prime Factorization of 85305

Prime Factorization of 85315

Now multiplying the highest exponent prime factors to calculate the LCM of 85305 and 85315.

LCM(85305,85315) = 3¹ × 5¹ × 11² × 47¹ × 113¹ × 151¹
LCM(85305,85315) = 1455559215