What is the Least Common Multiple of 30458 and 30470?

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 30458 and 30470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30458 and 30470, than apply into the LCM equation.

GCF(30458,30470) = 2
LCM(30458,30470) = ( 30458 × 30470) / 2
LCM(30458,30470) = 928055260 / 2
LCM(30458,30470) = 464027630

Least Common Multiple (LCM) of 30458 and 30470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30458 and 30470. First we will calculate the prime factors of 30458 and 30470.

Prime Factorization of 30458

Prime Factorization of 30470

Now multiplying the highest exponent prime factors to calculate the LCM of 30458 and 30470.

LCM(30458,30470) = 2¹ × 97¹ × 157¹ × 5¹ × 11¹ × 277¹
LCM(30458,30470) = 464027630