What is the Least Common Multiple of 32470 and 32474?

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 32474 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 32474, than apply into the LCM equation.

GCF(32470,32474) = 2
LCM(32470,32474) = ( 32470 × 32474) / 2
LCM(32470,32474) = 1054430780 / 2
LCM(32470,32474) = 527215390

Least Common Multiple (LCM) of 32470 and 32474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32470 and 32474. First we will calculate the prime factors of 32470 and 32474.

Prime Factorization of 32470

Prime Factorization of 32474

Now multiplying the highest exponent prime factors to calculate the LCM of 32470 and 32474.

LCM(32470,32474) = 2¹ × 5¹ × 17¹ × 191¹ × 13¹ × 1249¹
LCM(32470,32474) = 527215390