What is the Least Common Multiple of 95064 and 95081?

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 95064 and 95081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95064 and 95081, than apply into the LCM equation.

GCF(95064,95081) = 17
LCM(95064,95081) = ( 95064 × 95081) / 17
LCM(95064,95081) = 9038780184 / 17
LCM(95064,95081) = 531692952

Least Common Multiple (LCM) of 95064 and 95081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95064 and 95081. First we will calculate the prime factors of 95064 and 95081.

Prime Factorization of 95064

Prime Factorization of 95081

Now multiplying the highest exponent prime factors to calculate the LCM of 95064 and 95081.

LCM(95064,95081) = 2³ × 3¹ × 17² × 233¹ × 7¹ × 47¹
LCM(95064,95081) = 531692952