What is the Least Common Multiple of 38430 and 38440?

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 38440 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 38440, than apply into the LCM equation.

GCF(38430,38440) = 10
LCM(38430,38440) = ( 38430 × 38440) / 10
LCM(38430,38440) = 1477249200 / 10
LCM(38430,38440) = 147724920

Least Common Multiple (LCM) of 38430 and 38440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38430 and 38440. First we will calculate the prime factors of 38430 and 38440.

Prime Factorization of 38430

Prime Factorization of 38440

Now multiplying the highest exponent prime factors to calculate the LCM of 38430 and 38440.

LCM(38430,38440) = 2³ × 3² × 5¹ × 7¹ × 61¹ × 31²
LCM(38430,38440) = 147724920