What is the Least Common Multiple of 85175 and 85191?

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 85175 and 85191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85175 and 85191, than apply into the LCM equation.

GCF(85175,85191) = 1
LCM(85175,85191) = ( 85175 × 85191) / 1
LCM(85175,85191) = 7256143425 / 1
LCM(85175,85191) = 7256143425

Least Common Multiple (LCM) of 85175 and 85191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85175 and 85191. First we will calculate the prime factors of 85175 and 85191.

Prime Factorization of 85175

Prime Factorization of 85191

Now multiplying the highest exponent prime factors to calculate the LCM of 85175 and 85191.

LCM(85175,85191) = 5² × 3407¹ × 3¹ × 73¹ × 389¹
LCM(85175,85191) = 7256143425