What is the Least Common Multiple of 32470 and 32488?

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 32488 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 32488, than apply into the LCM equation.

GCF(32470,32488) = 2
LCM(32470,32488) = ( 32470 × 32488) / 2
LCM(32470,32488) = 1054885360 / 2
LCM(32470,32488) = 527442680

Least Common Multiple (LCM) of 32470 and 32488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32470 and 32488. First we will calculate the prime factors of 32470 and 32488.

Prime Factorization of 32470

Prime Factorization of 32488

Now multiplying the highest exponent prime factors to calculate the LCM of 32470 and 32488.

LCM(32470,32488) = 2³ × 5¹ × 17¹ × 191¹ × 31¹ × 131¹
LCM(32470,32488) = 527442680