What is the Least Common Multiple of 32470 and 32484?

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 32470 and 32484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32470 and 32484, than apply into the LCM equation.

GCF(32470,32484) = 2
LCM(32470,32484) = ( 32470 × 32484) / 2
LCM(32470,32484) = 1054755480 / 2
LCM(32470,32484) = 527377740

Least Common Multiple (LCM) of 32470 and 32484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32470 and 32484. First we will calculate the prime factors of 32470 and 32484.

Prime Factorization of 32470

Prime Factorization of 32484

Now multiplying the highest exponent prime factors to calculate the LCM of 32470 and 32484.

LCM(32470,32484) = 2² × 5¹ × 17¹ × 191¹ × 3¹ × 2707¹
LCM(32470,32484) = 527377740