What is the Least Common Multiple of 58675 and 58690?

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 58675 and 58690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58675 and 58690, than apply into the LCM equation.

GCF(58675,58690) = 5
LCM(58675,58690) = ( 58675 × 58690) / 5
LCM(58675,58690) = 3443635750 / 5
LCM(58675,58690) = 688727150

Least Common Multiple (LCM) of 58675 and 58690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58675 and 58690. First we will calculate the prime factors of 58675 and 58690.

Prime Factorization of 58675

Prime Factorization of 58690

Now multiplying the highest exponent prime factors to calculate the LCM of 58675 and 58690.

LCM(58675,58690) = 5² × 2347¹ × 2¹ × 5869¹
LCM(58675,58690) = 688727150