What is the Least Common Multiple of 58075 and 58090?

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 58075 and 58090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58075 and 58090, than apply into the LCM equation.

GCF(58075,58090) = 5
LCM(58075,58090) = ( 58075 × 58090) / 5
LCM(58075,58090) = 3373576750 / 5
LCM(58075,58090) = 674715350

Least Common Multiple (LCM) of 58075 and 58090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58075 and 58090. First we will calculate the prime factors of 58075 and 58090.

Prime Factorization of 58075

Prime Factorization of 58090

Now multiplying the highest exponent prime factors to calculate the LCM of 58075 and 58090.

LCM(58075,58090) = 5² × 23¹ × 101¹ × 2¹ × 37¹ × 157¹
LCM(58075,58090) = 674715350