What is the Least Common Multiple of 32424 and 32430?

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 32424 and 32430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32424 and 32430, than apply into the LCM equation.

GCF(32424,32430) = 6
LCM(32424,32430) = ( 32424 × 32430) / 6
LCM(32424,32430) = 1051510320 / 6
LCM(32424,32430) = 175251720

Least Common Multiple (LCM) of 32424 and 32430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32424 and 32430. First we will calculate the prime factors of 32424 and 32430.

Prime Factorization of 32424

Prime Factorization of 32430

Now multiplying the highest exponent prime factors to calculate the LCM of 32424 and 32430.

LCM(32424,32430) = 2³ × 3¹ × 7¹ × 193¹ × 5¹ × 23¹ × 47¹
LCM(32424,32430) = 175251720