What is the Least Common Multiple of 32577 and 32587?

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 32577 and 32587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32577 and 32587, than apply into the LCM equation.

GCF(32577,32587) = 1
LCM(32577,32587) = ( 32577 × 32587) / 1
LCM(32577,32587) = 1061586699 / 1
LCM(32577,32587) = 1061586699

Least Common Multiple (LCM) of 32577 and 32587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32577 and 32587. First we will calculate the prime factors of 32577 and 32587.

Prime Factorization of 32577

Prime Factorization of 32587

Now multiplying the highest exponent prime factors to calculate the LCM of 32577 and 32587.

LCM(32577,32587) = 3¹ × 10859¹ × 32587¹
LCM(32577,32587) = 1061586699