What is the Least Common Multiple of 58048 and 58065?

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 58048 and 58065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58048 and 58065, than apply into the LCM equation.

GCF(58048,58065) = 1
LCM(58048,58065) = ( 58048 × 58065) / 1
LCM(58048,58065) = 3370557120 / 1
LCM(58048,58065) = 3370557120

Least Common Multiple (LCM) of 58048 and 58065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58048 and 58065. First we will calculate the prime factors of 58048 and 58065.

Prime Factorization of 58048

Prime Factorization of 58065

Now multiplying the highest exponent prime factors to calculate the LCM of 58048 and 58065.

LCM(58048,58065) = 2⁶ × 907¹ × 3¹ × 5¹ × 7² × 79¹
LCM(58048,58065) = 3370557120