What is the Least Common Multiple of 32457 and 32467?

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 32457 and 32467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32457 and 32467, than apply into the LCM equation.

GCF(32457,32467) = 1
LCM(32457,32467) = ( 32457 × 32467) / 1
LCM(32457,32467) = 1053781419 / 1
LCM(32457,32467) = 1053781419

Least Common Multiple (LCM) of 32457 and 32467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32457 and 32467. First we will calculate the prime factors of 32457 and 32467.

Prime Factorization of 32457

Prime Factorization of 32467

Now multiplying the highest exponent prime factors to calculate the LCM of 32457 and 32467.

LCM(32457,32467) = 3¹ × 31¹ × 349¹ × 32467¹
LCM(32457,32467) = 1053781419