What is the Least Common Multiple of 58064 and 58071?

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 58064 and 58071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58064 and 58071, than apply into the LCM equation.

GCF(58064,58071) = 1
LCM(58064,58071) = ( 58064 × 58071) / 1
LCM(58064,58071) = 3371834544 / 1
LCM(58064,58071) = 3371834544

Least Common Multiple (LCM) of 58064 and 58071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58064 and 58071. First we will calculate the prime factors of 58064 and 58071.

Prime Factorization of 58064

Prime Factorization of 58071

Now multiplying the highest exponent prime factors to calculate the LCM of 58064 and 58071.

LCM(58064,58071) = 2⁴ × 19¹ × 191¹ × 3¹ × 13¹ × 1489¹
LCM(58064,58071) = 3371834544