What is the Least Common Multiple of 58065 and 58070?

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 58065 and 58070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58065 and 58070, than apply into the LCM equation.

GCF(58065,58070) = 5
LCM(58065,58070) = ( 58065 × 58070) / 5
LCM(58065,58070) = 3371834550 / 5
LCM(58065,58070) = 674366910

Least Common Multiple (LCM) of 58065 and 58070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58065 and 58070. First we will calculate the prime factors of 58065 and 58070.

Prime Factorization of 58065

Prime Factorization of 58070

Now multiplying the highest exponent prime factors to calculate the LCM of 58065 and 58070.

LCM(58065,58070) = 3¹ × 5¹ × 7² × 79¹ × 2¹ × 5807¹
LCM(58065,58070) = 674366910