What is the Least Common Multiple of 58770 and 58785?

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 58770 and 58785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58770 and 58785, than apply into the LCM equation.

GCF(58770,58785) = 15
LCM(58770,58785) = ( 58770 × 58785) / 15
LCM(58770,58785) = 3454794450 / 15
LCM(58770,58785) = 230319630

Least Common Multiple (LCM) of 58770 and 58785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58770 and 58785. First we will calculate the prime factors of 58770 and 58785.

Prime Factorization of 58770

Prime Factorization of 58785

Now multiplying the highest exponent prime factors to calculate the LCM of 58770 and 58785.

LCM(58770,58785) = 2¹ × 3² × 5¹ × 653¹ × 3919¹
LCM(58770,58785) = 230319630