What is the Least Common Multiple of 58045 and 58064?

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 58045 and 58064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58045 and 58064, than apply into the LCM equation.

GCF(58045,58064) = 19
LCM(58045,58064) = ( 58045 × 58064) / 19
LCM(58045,58064) = 3370324880 / 19
LCM(58045,58064) = 177385520

Least Common Multiple (LCM) of 58045 and 58064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58045 and 58064. First we will calculate the prime factors of 58045 and 58064.

Prime Factorization of 58045

Prime Factorization of 58064

Now multiplying the highest exponent prime factors to calculate the LCM of 58045 and 58064.

LCM(58045,58064) = 5¹ × 13¹ × 19¹ × 47¹ × 2⁴ × 191¹
LCM(58045,58064) = 177385520