What is the Least Common Multiple of 85064 and 85071?

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 85064 and 85071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85064 and 85071, than apply into the LCM equation.

GCF(85064,85071) = 7
LCM(85064,85071) = ( 85064 × 85071) / 7
LCM(85064,85071) = 7236479544 / 7
LCM(85064,85071) = 1033782792

Least Common Multiple (LCM) of 85064 and 85071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85064 and 85071. First we will calculate the prime factors of 85064 and 85071.

Prime Factorization of 85064

Prime Factorization of 85071

Now multiplying the highest exponent prime factors to calculate the LCM of 85064 and 85071.

LCM(85064,85071) = 2³ × 7³ × 31¹ × 3¹ × 4051¹
LCM(85064,85071) = 1033782792