What is the Least Common Multiple of 58830 and 58845?

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 58830 and 58845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58830 and 58845, than apply into the LCM equation.

GCF(58830,58845) = 15
LCM(58830,58845) = ( 58830 × 58845) / 15
LCM(58830,58845) = 3461851350 / 15
LCM(58830,58845) = 230790090

Least Common Multiple (LCM) of 58830 and 58845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58830 and 58845. First we will calculate the prime factors of 58830 and 58845.

Prime Factorization of 58830

Prime Factorization of 58845

Now multiplying the highest exponent prime factors to calculate the LCM of 58830 and 58845.

LCM(58830,58845) = 2¹ × 3¹ × 5¹ × 37¹ × 53¹ × 3923¹
LCM(58830,58845) = 230790090