What is the Least Common Multiple of 30450 and 30464?

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 30450 and 30464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30450 and 30464, than apply into the LCM equation.

GCF(30450,30464) = 14
LCM(30450,30464) = ( 30450 × 30464) / 14
LCM(30450,30464) = 927628800 / 14
LCM(30450,30464) = 66259200

Least Common Multiple (LCM) of 30450 and 30464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30450 and 30464. First we will calculate the prime factors of 30450 and 30464.

Prime Factorization of 30450

Prime Factorization of 30464

Now multiplying the highest exponent prime factors to calculate the LCM of 30450 and 30464.

LCM(30450,30464) = 2⁸ × 3¹ × 5² × 7¹ × 29¹ × 17¹
LCM(30450,30464) = 66259200