What is the Least Common Multiple of 32438 and 32457?

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 32438 and 32457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32438 and 32457, than apply into the LCM equation.

GCF(32438,32457) = 1
LCM(32438,32457) = ( 32438 × 32457) / 1
LCM(32438,32457) = 1052840166 / 1
LCM(32438,32457) = 1052840166

Least Common Multiple (LCM) of 32438 and 32457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32438 and 32457. First we will calculate the prime factors of 32438 and 32457.

Prime Factorization of 32438

Prime Factorization of 32457

Now multiplying the highest exponent prime factors to calculate the LCM of 32438 and 32457.

LCM(32438,32457) = 2¹ × 7² × 331¹ × 3¹ × 31¹ × 349¹
LCM(32438,32457) = 1052840166