What is the Least Common Multiple of 32564 and 32583?

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 32564 and 32583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32564 and 32583, than apply into the LCM equation.

GCF(32564,32583) = 1
LCM(32564,32583) = ( 32564 × 32583) / 1
LCM(32564,32583) = 1061032812 / 1
LCM(32564,32583) = 1061032812

Least Common Multiple (LCM) of 32564 and 32583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32564 and 32583. First we will calculate the prime factors of 32564 and 32583.

Prime Factorization of 32564

Prime Factorization of 32583

Now multiplying the highest exponent prime factors to calculate the LCM of 32564 and 32583.

LCM(32564,32583) = 2² × 7¹ × 1163¹ × 3¹ × 10861¹
LCM(32564,32583) = 1061032812