What is the Least Common Multiple of 32544 and 32558?

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 32544 and 32558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32544 and 32558, than apply into the LCM equation.

GCF(32544,32558) = 2
LCM(32544,32558) = ( 32544 × 32558) / 2
LCM(32544,32558) = 1059567552 / 2
LCM(32544,32558) = 529783776

Least Common Multiple (LCM) of 32544 and 32558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32544 and 32558. First we will calculate the prime factors of 32544 and 32558.

Prime Factorization of 32544

Prime Factorization of 32558

Now multiplying the highest exponent prime factors to calculate the LCM of 32544 and 32558.

LCM(32544,32558) = 2⁵ × 3² × 113¹ × 73¹ × 223¹
LCM(32544,32558) = 529783776