What is the Least Common Multiple of 88064 and 88071?

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 88064 and 88071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88064 and 88071, than apply into the LCM equation.

GCF(88064,88071) = 1
LCM(88064,88071) = ( 88064 × 88071) / 1
LCM(88064,88071) = 7755884544 / 1
LCM(88064,88071) = 7755884544

Least Common Multiple (LCM) of 88064 and 88071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88064 and 88071. First we will calculate the prime factors of 88064 and 88071.

Prime Factorization of 88064

Prime Factorization of 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 88064 and 88071.

LCM(88064,88071) = 2¹¹ × 43¹ × 3¹ × 31¹ × 947¹
LCM(88064,88071) = 7755884544