What is the Least Common Multiple of 38424 and 38430?

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 38424 and 38430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38424 and 38430, than apply into the LCM equation.

GCF(38424,38430) = 6
LCM(38424,38430) = ( 38424 × 38430) / 6
LCM(38424,38430) = 1476634320 / 6
LCM(38424,38430) = 246105720

Least Common Multiple (LCM) of 38424 and 38430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38424 and 38430. First we will calculate the prime factors of 38424 and 38430.

Prime Factorization of 38424

Prime Factorization of 38430

Now multiplying the highest exponent prime factors to calculate the LCM of 38424 and 38430.

LCM(38424,38430) = 2³ × 3² × 1601¹ × 5¹ × 7¹ × 61¹
LCM(38424,38430) = 246105720