What is the Least Common Multiple of 38430 and 38448?

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 38430 and 38448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38430 and 38448, than apply into the LCM equation.

GCF(38430,38448) = 18
LCM(38430,38448) = ( 38430 × 38448) / 18
LCM(38430,38448) = 1477556640 / 18
LCM(38430,38448) = 82086480

Least Common Multiple (LCM) of 38430 and 38448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38430 and 38448. First we will calculate the prime factors of 38430 and 38448.

Prime Factorization of 38430

Prime Factorization of 38448

Now multiplying the highest exponent prime factors to calculate the LCM of 38430 and 38448.

LCM(38430,38448) = 2⁴ × 3³ × 5¹ × 7¹ × 61¹ × 89¹
LCM(38430,38448) = 82086480